Metrics for sqrt E (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 10 to 6 computations (40% saved)

sample550.0ms (22%)

Memory

21.4MiB live, 756.0MiB allocated

Samples

353.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-pow2: 90.0ms (46% of total)

ival-sqrt: 55.0ms (28.1% of total)

ival-add: 42.0ms (21.5% of total)

ival-true: 5.0ms (2.6% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain71.0ms (2.8%)

Memory

-16.4MiB live, 103.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
131	-	4	(4.102829889491032e-158)	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
0	-	0	-	`(pow.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`	oflow-rescue	65	0
↳	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`	overflow	65
↳	`(pow.f64 x #s(literal 2 binary64))`	overflow	130
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`	uflow-rescue	62	0
↳	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`	underflow	62
↳	`(pow.f64 x #s(literal 2 binary64))`	underflow	124

Confusion

	Predicted +	Predicted -
+	127	5
-	0	124

Precision

1.0

Recall

0.9621212121212122

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	5
-	0	0	124

Precision?

1.0

Recall?

0.9621212121212122

Freqs

test

number	freq
0	129
1	127

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 53 to 19 computations (64.2% saved)

Precisions

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

ival-pow2: 5.0ms (42.3% of total)

ival-sqrt: 3.0ms (25.4% of total)

ival-add: 2.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess17.0ms (0.7%)

Memory

30.9MiB live, 30.9MiB allocated

Algorithm

1×	egg-herbie

Rules

58×	`associate-r`
54×	`unsub-neg`
38×	`distribute-rgt-neg-out`
38×	`distribute-lft-neg-out`
38×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	15	13
2	35	13
3	146	13
4	286	13
5	313	13
6	315	13
0	5	8
0	8	6
1	10	6
2	15	6
3	18	6
0	18	3

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify6.0ms (0.3%)

Memory

-33.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
cost-diff	320	(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
cost-diff	6144	(pow.f64 x #s(literal 2 binary64))

Rules

14×	`lower-*.f64`
14×	`lower-*.f32`
4×	`*-commutative`
4×	`count-2`
4×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	20
0	8	16
1	10	16
2	15	16
3	18	16
0	18	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

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

localize16.0ms (0.6%)

Memory

22.9MiB live, 22.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal 2 binary64))
accuracy	0.01171875	(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
accuracy	29.918798729707998	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Samples

11.0ms

256×

valid

Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-pow2: 3.0ms (52.8% of total)

ival-sqrt: 2.0ms (35.2% of total)

ival-add: 1.0ms (17.6% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())

Inputs

#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())

#s(alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())

#s(alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((pow x 2) (+ (pow x 2) (pow x 2)) (sqrt (+ (pow x 2) (pow x 2))))
1.0ms	x	@	inf	((pow x 2) (+ (pow x 2) (pow x 2)) (sqrt (+ (pow x 2) (pow x 2))))
1.0ms	x	@	-inf	((pow x 2) (+ (pow x 2) (pow x 2)) (sqrt (+ (pow x 2) (pow x 2))))

Time

Variable

Point

Expression

1.0ms

((pow x 2) (+ (pow x 2) (pow x 2)) (sqrt (+ (pow x 2) (pow x 2))))

1.0ms

inf

((pow x 2) (+ (pow x 2) (pow x 2)) (sqrt (+ (pow x 2) (pow x 2))))

1.0ms

-inf

((pow x 2) (+ (pow x 2) (pow x 2)) (sqrt (+ (pow x 2) (pow x 2))))

simplify5.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`lower-*.f64`
38×	`lower-fma.f64`
38×	`lower-fma.f32`
38×	`lower-*.f32`
36×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

Outputs
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.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)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.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)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))

rewrite34.0ms (1.4%)

Memory

2.3MiB live, 40.2MiB allocated

Rules

70×	`lower-*.f64`
70×	`lower-*.f32`
44×	`lower-fma.f64`
44×	`lower-fma.f32`
34×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	18
0	8	14
1	28	10
0	170	9

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 33

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Outputs
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x x))
(*.f64 x (+.f64 x x))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x x)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 0 binary64)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 0 binary64)))
(+.f64 (.f64 x x) (.f64 x x))
(.f64 (pow.f64 (.f64 x (+.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (+.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 x x)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 x x) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(hypot.f64 (exp.f64 (log.f64 x)) x)
(hypot.f64 x (exp.f64 (log.f64 x)))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x x))) #s(literal 1/2 binary64)))

eval12.0ms (0.5%)

Memory: -21.0MiB live, 16.6MiB allocated
Compiler: Compiled 774 to 103 computations (86.7% saved)

prune8.0ms (0.3%)

Memory

17.5MiB live, 17.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	6	88

Accuracy

100.0%

Counts

88 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	21.1%	(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))))
	21.1%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))))
▶	53.3%	(sqrt.f64 (*.f64 x (+.f64 x x)))
▶	50.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
▶	51.1%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 154 to 72 computations (53.2% saved)

simplify224.0ms (9%)

Memory

-18.1MiB live, 61.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))
cost-diff	0	(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))))
cost-diff	64	(fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))
cost-diff	1280	(sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))
cost-diff	0	(+.f64 x x)
cost-diff	0	(*.f64 x (+.f64 x x))
cost-diff	0	(sqrt.f64 (*.f64 x (+.f64 x x)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
cost-diff	5312	(hypot.f64 x x)

Rules

2 560×	`lower-fma.f32`
2 558×	`lower-fma.f64`
1 984×	`lower-*.f32`
1 974×	`lower-*.f64`
1 226×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	149
0	38	125
1	57	105
2	118	98
3	215	92
4	301	92
5	576	92
6	685	92
7	734	92
8	896	92
9	1379	92
10	2284	92
11	2979	92
12	3143	92
13	3309	92
14	3341	92
15	3765	92
16	3971	92
17	3977	92
18	3977	92
19	3977	92
20	3977	92
21	3997	92
22	4005	92
23	4005	92
24	4005	92
25	4011	92
0	4011	92

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(hypot.f64 x x)
x
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(*.f64 x (+.f64 x x))
x
(+.f64 x x)
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))))
(sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))
(.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))
(fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))
(*.f64 x x)
x
#s(literal 0 binary64)
(*.f64 x (+.f64 x x))
(+.f64 x x)
(sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))

Outputs
(hypot.f64 x x)
(sqrt.f64 (*.f64 (+.f64 x x) x))
x
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(*.f64 x (+.f64 x x))
(*.f64 (+.f64 x x) x)
x
(+.f64 x x)
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (.f64 (.f64 (.f64 (+.f64 x x) x) x) (.f64 (.f64 x x) x))) (.f64 x x))
(sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))
(sqrt.f64 (.f64 (.f64 (.f64 (+.f64 x x) x) x) (.f64 (*.f64 x x) x)))
(.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))
(.f64 (.f64 (.f64 (+.f64 x x) x) x) (.f64 (*.f64 x x) x))
(fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))
(.f64 (.f64 (*.f64 x x) x) x)
(*.f64 x x)
x
#s(literal 0 binary64)
(*.f64 x (+.f64 x x))
(*.f64 (+.f64 x x) x)
(+.f64 x x)
(sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))
(*.f64 x x)

localize58.0ms (2.3%)

Memory

4.5MiB live, 80.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.170253759768442	(fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))
accuracy	8.033284213791514	(sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))
accuracy	12.19691320334542	(sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))
accuracy	40.15927713967543	(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))))
accuracy	0	(+.f64 x x)
accuracy	0	(*.f64 x (+.f64 x x))
accuracy	29.918798729707998	(sqrt.f64 (*.f64 x (+.f64 x x)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(neg.f64 x)
accuracy	0.421875	(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
accuracy	31.07068779720469	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.421875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	31.51653294779247	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy	0.015625	(hypot.f64 x x)

Samples

43.0ms

256×

valid

Compiler

Compiled 151 to 23 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 9.0ms (29% of total)

ival-sqrt: 8.0ms (25.7% of total)

ival-add: 5.0ms (16.1% of total)

ival-hypot: 5.0ms (16.1% of total)

ival-pow2: 2.0ms (6.4% of total)

ival-div: 1.0ms (3.2% of total)

ival-neg: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.4%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

14 → 156

Calls

Call 1

Inputs
#s(alt (hypot.f64 x x) (patch (hypot.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 x (+.f64 x x))) (patch (sqrt.f64 (.f64 x (+.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 x (+.f64 x x)) (patch (.f64 x (+.f64 x x)) #<representation binary64>) () ())
#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))) (patch (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (patch (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) (patch (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (patch (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) #<representation binary64>) () ())

Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (hypot.f64 x x) (patch (hypot.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (hypot.f64 x x) (patch (hypot.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (hypot.f64 x x) (patch (hypot.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (hypot.f64 x x) (patch (hypot.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x (+.f64 x x))) (patch (sqrt.f64 (.f64 x (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x (+.f64 x x))) (patch (sqrt.f64 (.f64 x (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x (+.f64 x x))) (patch (sqrt.f64 (.f64 x (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x (+.f64 x x))) (patch (sqrt.f64 (.f64 x (+.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x (+.f64 x x))) (patch (sqrt.f64 (.f64 x (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x (+.f64 x x))) (patch (sqrt.f64 (.f64 x (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x (+.f64 x x))) (patch (sqrt.f64 (.f64 x (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x (+.f64 x x))) (patch (sqrt.f64 (.f64 x (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (+.f64 x x)) (patch (.f64 x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (+.f64 x x)) (patch (.f64 x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (+.f64 x x)) (patch (.f64 x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (+.f64 x x)) (patch (.f64 x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))) (patch (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))) (patch (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))) (patch (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))) (patch (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (patch (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (patch (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (patch (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (patch (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) (patch (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) (patch (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) (patch (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) (patch (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (patch (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (patch (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (patch (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (patch (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((sqrt (+ (* x x) (* x x))) (sqrt (+ (pow x 2) (pow x 2))) (* (sqrt 2) x) (sqrt 2) (sqrt (+ (pow x 2) (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt (* x (+ x x))) (* x (+ x x)) (+ x x) (sqrt (+ (* (* x x) (* x x)) 0)) (+ (* (* x x) (* x x)) 0) (/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (sqrt (+ (* (* x x) (* x x)) 0))) (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))))

2.0ms

-inf

((sqrt (+ (* x x) (* x x))) (sqrt (+ (pow x 2) (pow x 2))) (* (sqrt 2) x) (sqrt 2) (sqrt (+ (pow x 2) (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt (* x (+ x x))) (* x (+ x x)) (+ x x) (sqrt (+ (* (* x x) (* x x)) 0)) (+ (* (* x x) (* x x)) 0) (/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (sqrt (+ (* (* x x) (* x x)) 0))) (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))))

2.0ms

((sqrt (+ (* x x) (* x x))) (sqrt (+ (pow x 2) (pow x 2))) (* (sqrt 2) x) (sqrt 2) (sqrt (+ (pow x 2) (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt (* x (+ x x))) (* x (+ x x)) (+ x x) (sqrt (+ (* (* x x) (* x x)) 0)) (+ (* (* x x) (* x x)) 0) (/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (sqrt (+ (* (* x x) (* x x)) 0))) (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))))

simplify22.0ms (0.9%)

Memory

-19.8MiB live, 21.9MiB allocated

Algorithm

1×	egg-herbie

Rules

130×	`lower-*.f64`
130×	`lower-fma.f64`
130×	`lower-fma.f32`
130×	`lower-*.f32`
66×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	636
1	32	636
2	66	636
3	116	636
4	144	636
5	190	636
6	225	636
7	277	636
8	293	636
9	293	636
0	293	636

Stop Event

1×	iter limit
1×	saturated

Counts

156 → 156

Calls

Call 1

Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))

Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #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)
(* 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 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #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)
(* 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 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #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)
(* 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 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow x 3) (sqrt 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))
(* -1 (* (pow x 3) (sqrt 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))
(* -1 (* (pow x 3) (sqrt 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))
(* -1 (* (pow x 3) (sqrt 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))

rewrite45.0ms (1.8%)

Memory

16.0MiB live, 53.8MiB allocated

Rules

178×	`lower-*.f32`
172×	`lower-*.f64`
140×	`lower-fma.f32`
138×	`lower-fma.f64`
104×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	114
0	38	59
1	117	38
0	876	38

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

14 → 75

Calls

Call 1

Inputs
(hypot.f64 x x)
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(*.f64 x (+.f64 x x))
(+.f64 x x)
(sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))))
(sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))

Outputs
#s(literal 0 binary64)
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) x))
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 (*.f64 x x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 x x) x)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x))) (.f64 x x))
(/.f64 (sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x))))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (*.f64 x x))))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 (*.f64 x x) x))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 0 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x))) (neg.f64 (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (neg.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x)))
(fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x x) x) x #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x))) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))
(fma.f64 x (.f64 (.f64 x x) x) #s(literal 0 binary64))
(-.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x))
(-.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 0 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 x x) x) x))
#s(literal 0 binary64)
#s(literal 0 binary64)

eval27.0ms (1.1%)

Memory: 10.5MiB live, 48.1MiB allocated
Compiler: Compiled 5 054 to 307 computations (93.9% saved)

prune20.0ms (0.8%)

Memory

3.7MiB live, 41.8MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	296	4	300
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	297	9	306

Accuracy

100.0%

Counts

306 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	22.0%	(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (*.f64 x x))
▶	21.1%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))))
✓	53.3%	(sqrt.f64 (*.f64 x (+.f64 x x)))
▶	17.8%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
✓	50.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓	51.1%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
▶	51.0%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
▶	3.8%	#s(literal 0 binary64)

Compiler

Compiled 180 to 97 computations (46.1% saved)

simplify188.0ms (7.5%)

Memory

-33.6MiB live, 127.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))))
cost-diff	64	(fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))
cost-diff	1216	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))))
cost-diff	2432	(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))
cost-diff	0	(sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))
cost-diff	0	(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (*.f64 x x))
cost-diff	64	(fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))
cost-diff	64	(fma.f64 x x #s(literal 0 binary64))
cost-diff	64	(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x))
cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
cost-diff	1664	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
cost-diff	0	(neg.f64 x)
cost-diff	0	(.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
cost-diff	12480	(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))

Rules

7 314×	`lower-fma.f32`
7 310×	`lower-fma.f64`
5 032×	`lower-*.f32`
5 020×	`lower-*.f64`
1 990×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	308
0	55	230
1	106	164
2	310	154
3	1376	146
4	3540	146
5	4589	146
6	6940	146
0	8048	137

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (5.2%)

Memory

15.4MiB live, 138.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.170253759768442	(fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))
accuracy	0.7938653348108602	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))))
accuracy	29.918798729707998	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))))
accuracy	46.307292913980866	(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))
accuracy	0.06869125976844201	(.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))
accuracy	0.170253759768442	(fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))
accuracy	8.033284213791514	(sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))
accuracy	40.15927713967543	(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (*.f64 x x))
accuracy	0.0546875	(.f64 (.f64 x x) x)
accuracy	0.421875	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	31.07068779720469	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
accuracy	40.37318162576566	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.421875	(.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
accuracy	1.0	(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
accuracy	31.07068779720469	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))

Samples

107.0ms

256×

valid

Compiler

Compiled 299 to 33 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 11.0ms (26.1% of total)

ival-div: 6.0ms (14.2% of total)

ival-sqrt: 6.0ms (14.2% of total)

ival-add: 5.0ms (11.9% of total)

ival-exp: 5.0ms (11.9% of total)

ival-log: 3.0ms (7.1% of total)

ival-pow2: 3.0ms (7.1% of total)

ival-sub: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (1%)

Memory

-12.4MiB live, 24.9MiB allocated

Counts

19 → 204

Calls

Call 1

Inputs
#s(alt (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (patch (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (patch (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (patch (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal 0 binary64)) (patch (fma.f64 x x #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (patch (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (.f64 x x)) (patch (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (.f64 x x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (patch (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))) (patch (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (patch (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))))) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())

Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (patch (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (patch (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (patch (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (patch (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((exp (* (log 2) 1/2)) (sqrt (+ (pow x 2) (pow x 2))) (* (neg x) (exp (* (log 2) 1/2))) (neg x) (/ (- 0 (* (* x x) x)) (+ 0 (+ (* x x) 0))) (+ 0 (+ (* x x) 0)) (- 0 (* (* x x) x)) (+ (* x x) 0) (+ (* (* x x) (* x x)) 0) (/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* x x)) (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/ 1 (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))))) (sqrt (/ 1 (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))))) (log 2) (sqrt (+ (pow x 2) (pow x 2))) (* (/ (- 0 (* (* x x) x)) (+ 0 (+ (* x x) 0))) (sqrt 2)) (* (* x x) x))

3.0ms

((exp (* (log 2) 1/2)) (sqrt (+ (pow x 2) (pow x 2))) (* (neg x) (exp (* (log 2) 1/2))) (neg x) (/ (- 0 (* (* x x) x)) (+ 0 (+ (* x x) 0))) (+ 0 (+ (* x x) 0)) (- 0 (* (* x x) x)) (+ (* x x) 0) (+ (* (* x x) (* x x)) 0) (/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* x x)) (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/ 1 (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))))) (sqrt (/ 1 (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))))) (log 2) (sqrt (+ (pow x 2) (pow x 2))) (* (/ (- 0 (* (* x x) x)) (+ 0 (+ (* x x) 0))) (sqrt 2)) (* (* x x) x))

3.0ms

-inf

((exp (* (log 2) 1/2)) (sqrt (+ (pow x 2) (pow x 2))) (* (neg x) (exp (* (log 2) 1/2))) (neg x) (/ (- 0 (* (* x x) x)) (+ 0 (+ (* x x) 0))) (+ 0 (+ (* x x) 0)) (- 0 (* (* x x) x)) (+ (* x x) 0) (+ (* (* x x) (* x x)) 0) (/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* x x)) (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/ 1 (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))))) (sqrt (/ 1 (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))))) (log 2) (sqrt (+ (pow x 2) (pow x 2))) (* (/ (- 0 (* (* x x) x)) (+ 0 (+ (* x x) 0))) (sqrt 2)) (* (* x x) x))

simplify13.0ms (0.5%)

Memory

18.5MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Rules

134×	`lower-*.f64`
134×	`lower-*.f32`
130×	`lower-fma.f64`
130×	`lower-fma.f32`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	824
1	38	824
2	81	824
3	132	824
4	165	824
5	202	824
6	223	824
7	276	824
8	290	824
9	290	824
0	290	824

Stop Event

1×	iter limit
1×	saturated

Counts

204 → 204

Calls

Call 1

Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* 2 (pow x 6))
(* 2 (pow x 6))
(* 2 (pow x 6))
(* 2 (pow x 6))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* 2 (pow x 6))
(* 2 (pow x 6))
(* 2 (pow x 6))
(* 2 (pow x 6))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* 2 (pow x 6))
(* 2 (pow x 6))
(* 2 (pow x 6))
(* 2 (pow x 6))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (pow x 3))
(.f64 (.f64 (neg.f64 x) x) x)
(* -1 (pow x 3))
(.f64 (.f64 (neg.f64 x) x) x)
(* -1 (pow x 3))
(.f64 (.f64 (neg.f64 x) x) x)
(* -1 (pow x 3))
(.f64 (.f64 (neg.f64 x) 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 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (pow x 3))
(.f64 (.f64 (neg.f64 x) x) x)
(* -1 (pow x 3))
(.f64 (.f64 (neg.f64 x) x) x)
(* -1 (pow x 3))
(.f64 (.f64 (neg.f64 x) x) x)
(* -1 (pow x 3))
(.f64 (.f64 (neg.f64 x) 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 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* (pow x 3) (sqrt 2))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (pow x 3))
(.f64 (.f64 (neg.f64 x) x) x)
(* -1 (pow x 3))
(.f64 (.f64 (neg.f64 x) x) x)
(* -1 (pow x 3))
(.f64 (.f64 (neg.f64 x) x) x)
(* -1 (pow x 3))
(.f64 (.f64 (neg.f64 x) 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 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow x 3) (sqrt 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))
(* -1 (* (pow x 3) (sqrt 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))
(* -1 (* (pow x 3) (sqrt 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))
(* -1 (* (pow x 3) (sqrt 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)

rewrite90.0ms (3.6%)

Memory

-25.2MiB live, 59.3MiB allocated

Rules

274×	`lower-*.f32`
268×	`lower-/.f32`
266×	`lower-*.f64`
266×	`lower-/.f64`
174×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	243
0	55	157
1	220	47
0	2079	47

Stop Event

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

Counts

19 → 280

Calls

Call 1

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

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

eval91.0ms (3.6%)

Memory: 26.4MiB live, 97.4MiB allocated
Compiler: Compiled 11 617 to 972 computations (91.6% saved)

prune65.0ms (2.6%)

Memory

14.3MiB live, 96.2MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	586	7	593
Fresh	0	0	0
Picked	3	2	5
Done	0	4	4
Total	589	13	602

Accuracy

100.0%

Counts

602 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	17.8%	(/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) (.f64 x x))
▶	17.9%	(/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) (.f64 x x))
▶	51.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
✓	53.3%	(sqrt.f64 (*.f64 x (+.f64 x x)))
	20.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) (sqrt.f64 #s(literal 2 binary64))) x) x))
▶	50.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
▶	51.1%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
	17.7%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))
✓	50.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓	51.1%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
✓	51.0%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
✓	3.8%	#s(literal 0 binary64)

Compiler

Compiled 210 to 135 computations (35.7% saved)

simplify159.0ms (6.4%)

Memory

-36.2MiB live, 129.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)
cost-diff	0	(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))
cost-diff	0	#s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x)))
cost-diff	0	(/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) (.f64 x x))
cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)
cost-diff	0	(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
cost-diff	0	#s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x))
cost-diff	0	(/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) (.f64 x x))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	1280	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
cost-diff	1088	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
cost-diff	0	#s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))

Rules

10 428×	`lower-fma.f64`
10 428×	`lower-fma.f32`
6 596×	`lower-*.f32`
6 584×	`lower-*.f64`
1 956×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	340
0	54	311
1	96	227
2	266	219
3	908	211
4	2055	211
5	3044	211
6	5080	211
0	8100	205

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(literal 1 binary64)
#s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) (.f64 x x))
#s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 x x)
(/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) (.f64 x x))
#s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(neg.f64 x)
(*.f64 x x)

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

localize99.0ms (4%)

Memory

1.7MiB live, 124.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)
accuracy	0.421875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	21.532301220175572	#s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x)))
accuracy	40.15927713967543	(/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) (.f64 x x))
accuracy	0.1328125	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)
accuracy	0.421875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	21.25359171320747	#s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x))
accuracy	40.15927713967543	(/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) (.f64 x x))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.15234375	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy	0.421875	(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	31.07068779720469	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.44759750976844204	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy	31.51653294779247	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
accuracy	0	#s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
accuracy	0.27198934409425884	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	0.7938653348108602	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
accuracy	29.918798729707998	(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))

Samples

76.0ms

256×

valid

Compiler

Compiled 270 to 33 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 33.0ms (54.3% of total)

ival-div: 14.0ms (23% of total)

ival-sqrt: 6.0ms (9.9% of total)

ival-add: 3.0ms (4.9% of total)

ival-pow2: 2.0ms (3.3% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series13.0ms (0.5%)

Memory

30.0MiB live, 30.0MiB allocated

Counts

19 → 216

Calls

Call 1

Inputs
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (patch #s(approx (/ (+ ( (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) (.f64 x x)) (patch (/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) (patch #s(approx (sqrt ( (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x) (patch (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) (.f64 x x)) (patch (/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) (patch #s(approx (sqrt ( (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x)) (patch (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())

Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (patch #s(approx (/ (+ ( (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (patch #s(approx (/ (+ ( (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (patch #s(approx (/ (+ ( (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) (.f64 x x)) (patch (/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) (patch #s(approx (sqrt ( (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) (patch #s(approx (sqrt ( (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) (patch #s(approx (sqrt ( (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) (patch #s(approx (sqrt ( (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x)) (patch (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x)) (patch (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x)) (patch (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x)) (patch (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

((sqrt (/ 1 (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))))) (/ 1 (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))))) (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/ 1/2 (* x x)) (/ (sqrt 2) (/ 1 x)) (sqrt (+ (pow x 2) (pow x 2))) (sqrt 2) (/ 1 x) (/ -1 (/ 1 x)) (sqrt (+ (pow x 2) (pow x 2))) (* (/ -1 (/ 1 x)) (sqrt 2)) (/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* x x)) (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* (* (* (sqrt 2) x) x) x) (* (* (sqrt 2) x) x) (/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* x x)) (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* (* (* (sqrt 2) x) x) (neg x)) (* (sqrt 2) x))

2.0ms

-inf

((sqrt (/ 1 (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))))) (/ 1 (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))))) (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/ 1/2 (* x x)) (/ (sqrt 2) (/ 1 x)) (sqrt (+ (pow x 2) (pow x 2))) (sqrt 2) (/ 1 x) (/ -1 (/ 1 x)) (sqrt (+ (pow x 2) (pow x 2))) (* (/ -1 (/ 1 x)) (sqrt 2)) (/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* x x)) (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* (* (* (sqrt 2) x) x) x) (* (* (sqrt 2) x) x) (/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* x x)) (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* (* (* (sqrt 2) x) x) (neg x)) (* (sqrt 2) x))

2.0ms

inf

((sqrt (/ 1 (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))))) (/ 1 (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))))) (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/ 1/2 (* x x)) (/ (sqrt 2) (/ 1 x)) (sqrt (+ (pow x 2) (pow x 2))) (sqrt 2) (/ 1 x) (/ -1 (/ 1 x)) (sqrt (+ (pow x 2) (pow x 2))) (* (/ -1 (/ 1 x)) (sqrt 2)) (/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* x x)) (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* (* (* (sqrt 2) x) x) x) (* (* (sqrt 2) x) x) (/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* x x)) (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (* (* (* (sqrt 2) x) x) (neg x)) (* (sqrt 2) x))

simplify16.0ms (0.7%)

Memory

-3.8MiB live, 32.7MiB allocated

Algorithm

1×	egg-herbie

Rules

130×	`lower-*.f64`
130×	`lower-fma.f64`
130×	`lower-fma.f32`
130×	`lower-*.f32`
66×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	1036
1	36	1036
2	72	1036
3	113	1036
4	142	1036
5	188	1036
6	223	1036
7	275	1036
8	291	1036
9	291	1036
0	291	1036

Stop Event

1×	iter limit
1×	saturated

Counts

216 → 216

Calls

Call 1

Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 2) (sqrt 2))
(* (pow x 2) (sqrt 2))
(* (pow x 2) (sqrt 2))
(* (pow x 2) (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 2) (sqrt 2))
(* (pow x 2) (sqrt 2))
(* (pow x 2) (sqrt 2))
(* (pow x 2) (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 2) (sqrt 2))
(* (pow x 2) (sqrt 2))
(* (pow x 2) (sqrt 2))
(* (pow x 2) (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))

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

rewrite90.0ms (3.6%)

Memory

-2.1MiB live, 113.2MiB allocated

Rules

374×	`lower-/.f32`
362×	`lower-/.f64`
356×	`lower-*.f32`
344×	`lower-*.f64`
152×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	296
0	54	245
1	195	108
0	1347	108

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

19 → 167

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) (.f64 x x))
#s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)
(/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) (.f64 x x))
#s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64)))))
(pow.f64 (sqrt.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(pow.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64))))
(pow.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64))) #s(literal -1 binary64)))
(*.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64))
(/.f64 (neg.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64))) #s(literal -1 binary64))
(/.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(literal 0 binary64))))
#s(literal 0 binary64)
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) x)
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (/.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)))
(.f64 (neg.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) (*.f64 x x)))
(pow.f64 (.f64 x (/.f64 x #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)))) #s(literal -1 binary64))
(/.f64 (.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (/.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) x) x)
(/.f64 (neg.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) (.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (/.f64 x #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (/.f64 x #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x))) (.f64 x x)))
(neg.f64 (/.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) (fma.f64 x x #s(literal 0 binary64))))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 x x))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 x x) x))
(.f64 (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 x (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x))
(.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64)))
(.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (/.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(.f64 (neg.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (.f64 x x)))
(pow.f64 (/.f64 (.f64 x x) #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(literal -1 binary64))
(/.f64 (.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (neg.f64 (/.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (/.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x) x)
(/.f64 (neg.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x x) #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (*.f64 x x)))
(neg.f64 (/.f64 #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (fma.f64 x x #s(literal 0 binary64))))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) x)
(.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) #s(literal -1 binary64)) x)
(.f64 (neg.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) x)
(.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (neg.f64 x) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 x x #s(literal 0 binary64)))
(.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 x x) (neg.f64 x)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 x x #s(literal 0 binary64))))
(.f64 x (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 x)))
(.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(.f64 x (neg.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

eval48.0ms (1.9%)

Memory: 17.5MiB live, 126.4MiB allocated
Compiler: Compiled 5 104 to 447 computations (91.2% saved)

prune56.0ms (2.2%)

Memory

1.9MiB live, 86.9MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	467	4	471
Fresh	2	0	2
Picked	2	3	5
Done	0	6	6
Total	471	13	484

Accuracy

100.0%

Counts

484 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	17.9%	(/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) (.f64 x x))
	17.8%	(/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 x x) (neg.f64 x)))) (.f64 x x))
	17.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
✓	51.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
✓	53.3%	(sqrt.f64 (*.f64 x (+.f64 x x)))
✓	50.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
	51.1%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)))
	51.1%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
✓	50.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓	51.1%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
✓	51.0%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
✓	3.8%	#s(literal 0 binary64)

Compiler

Compiled 373 to 145 computations (61.1% saved)

regimes69.0ms (2.7%)

Memory

-1.9MiB live, 75.1MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (* x x)) 0) (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) x)) (.f64 x x))
(/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 x x) (neg.f64 x)))) (.f64 x x))
(/.f64 #s(approx (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (neg.f64 x))) (.f64 x x))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) (sqrt.f64 #s(literal 2 binary64))) x) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (*.f64 x x))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))))))
(hypot.f64 x x)
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Outputs
(hypot.f64 x x)

Calls

4 calls:

46.0ms	(pow.f64 x #s(literal 2 binary64))
8.0ms	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
7.0ms	x
6.0ms	(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes47.0ms (1.9%)

Memory

-37.6MiB live, 90.2MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))

Calls

4 calls:

26.0ms	(pow.f64 x #s(literal 2 binary64))
8.0ms	x
7.0ms	(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
5.0ms	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
99.3%	2	`x`
77.1%	3	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
77.1%	3	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
77.1%	3	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes6.0ms (0.3%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))

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

Calls

4 calls:

2.0ms	x
1.0ms	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
1.0ms	(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
1.0ms	(pow.f64 x #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
50.4%	1	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
50.4%	1	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
50.4%	1	`(pow.f64 x #s(literal 2 binary64))`
50.4%	1	`x`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes5.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

4 calls:

1.0ms	x
1.0ms	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
1.0ms	(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
1.0ms	(pow.f64 x #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
3.8%	1	`x`
3.8%	1	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
3.8%	1	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
3.8%	1	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

bsearch44.0ms (1.8%)

Memory

-21.9MiB live, 17.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	-1.0291160090256516e-306	2.9366145332484827e-299

Samples

37.0ms

160×

valid

Compiler

Compiled 162 to 118 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sqrt: 32.0ms (92.8% of total)

ival-pow2: 2.0ms (5.8% of total)

ival-add: 1.0ms (2.9% of total)

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

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

simplify6.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	23	48
2	30	48
3	35	48
4	38	48
5	39	48

Stop Event

1×

saturated

Calls

Call 1

Inputs
(hypot.f64 x x)
(if (<=.f64 x #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(literal 0 binary64)

Outputs
(hypot.f64 x x)
(if (<=.f64 x #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(if (<=.f64 x #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))) #s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(literal 0 binary64)

soundness79.0ms (3.2%)

Memory

8.3MiB live, 88.1MiB allocated

Rules

178×	`lower-*.f32`
172×	`lower-*.f64`
140×	`lower-fma.f32`
138×	`lower-fma.f64`
104×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	114
0	38	59
1	117	38
0	876	38
0	5	18
0	8	14
1	28	10
0	170	9
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148

Stop Event

1×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Compiler

Compiled 70 to 39 computations (44.3% saved)

preprocess31.0ms (1.2%)

Memory: -15.0MiB live, 60.3MiB allocated
Compiler: Compiled 68 to 32 computations (52.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	15
1	15	13
2	35	13
3	146	13
4	286	13
5	313	13
6	315	13
0	5	8
0	8	6
1	10	6
2	15	6
3	18	6
0	18	3

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148

Iter	Nodes	Cost
0	16	636
1	32	636
2	66	636
3	116	636
4	144	636
5	190	636
6	225	636
7	277	636
8	293	636
9	293	636
0	293	636

Iter	Nodes	Cost
0	21	824
1	38	824
2	81	824
3	132	824
4	165	824
5	202	824
6	223	824
7	276	824
8	290	824
9	290	824
0	290	824

Iter	Nodes	Cost
0	22	114
0	38	59
1	117	38
0	876	38
0	5	18
0	8	14
1	28	10
0	170	9
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148

Iter	Nodes	Cost
0	7	15
1	15	13
2	35	13
3	146	13
4	286	13
5	313	13
6	315	13
0	5	8
0	8	6
1	10	6
2	15	6
3	18	6
0	18	3

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148

Iter	Nodes	Cost
0	16	636
1	32	636
2	66	636
3	116	636
4	144	636
5	190	636
6	225	636
7	277	636
8	293	636
9	293	636
0	293	636

Iter	Nodes	Cost
0	21	824
1	38	824
2	81	824
3	132	824
4	165	824
5	202	824
6	223	824
7	276	824
8	290	824
9	290	824
0	290	824

Iter	Nodes	Cost
0	22	114
0	38	59
1	117	38
0	876	38
0	5	18
0	8	14
1	28	10
0	170	9
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148

start0.0ms (0%)

analyze0.0ms (0%)

sample550.0ms (22%)

explain71.0ms (2.8%)

preprocess17.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.3%)

localize16.0ms (0.6%)

series4.0ms (0.2%)

simplify5.0ms (0.2%)

rewrite34.0ms (1.4%)

eval12.0ms (0.5%)

prune8.0ms (0.3%)

simplify224.0ms (9%)

localize58.0ms (2.3%)

series10.0ms (0.4%)

simplify22.0ms (0.9%)

rewrite45.0ms (1.8%)

eval27.0ms (1.1%)

prune20.0ms (0.8%)

simplify188.0ms (7.5%)

localize129.0ms (5.2%)

series25.0ms (1%)

simplify13.0ms (0.5%)

rewrite90.0ms (3.6%)

eval91.0ms (3.6%)

prune65.0ms (2.6%)

simplify159.0ms (6.4%)

localize99.0ms (4%)

series13.0ms (0.5%)

simplify16.0ms (0.7%)

rewrite90.0ms (3.6%)

eval48.0ms (1.9%)

prune56.0ms (2.2%)

regimes69.0ms (2.7%)

regimes47.0ms (1.9%)

regimes6.0ms (0.3%)

regimes5.0ms (0.2%)

bsearch44.0ms (1.8%)

simplify6.0ms (0.2%)

soundness79.0ms (3.2%)

preprocess31.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	15
1	15	13
2	35	13
3	146	13
4	286	13
5	313	13
6	315	13
0	5	8
0	8	6
1	10	6
2	15	6
3	18	6
0	18	3

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148

Iter	Nodes	Cost
0	16	636
1	32	636
2	66	636
3	116	636
4	144	636
5	190	636
6	225	636
7	277	636
8	293	636
9	293	636
0	293	636

Iter	Nodes	Cost
0	21	824
1	38	824
2	81	824
3	132	824
4	165	824
5	202	824
6	223	824
7	276	824
8	290	824
9	290	824
0	290	824

Iter	Nodes	Cost
0	22	114
0	38	59
1	117	38
0	876	38
0	5	18
0	8	14
1	28	10
0	170	9
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148