Metrics for sqrt D (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

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 8 to 7 computations (12.5% saved)

sample657.0ms (23.3%)

Memory

38.0MiB live, 785.9MiB allocated; 223ms collecting garbage

Samples

440.0ms

8 256×

valid

Precisions

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

ival-pow2: 114.0ms (42.2% of total)

ival-sqrt: 92.0ms (34.1% of total)

ival-mult: 48.0ms (17.8% of total)

ival-true: 6.0ms (2.2% of total)

exact: 5.0ms (1.9% of total)

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

adjust: 2.0ms (0.7% of total)

Bogosity

explain74.0ms (2.6%)

Memory

-36.3MiB live, 87.5MiB allocated; 32ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
125	-	3	(-9.224648910263513e-159)	`(sqrt.f64 (*.f64 #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 #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 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`	uflow-rescue	62	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	underflow	62
↳	`(pow.f64 x #s(literal 2 binary64))`	underflow	62
`sqrt.f64`	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`	oflow-rescue	60	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	overflow	60
↳	`(pow.f64 x #s(literal 2 binary64))`	overflow	60

Confusion

	Predicted +	Predicted -
+	122	3
-	0	131

Precision

1.0

Recall

0.976

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	3
-	0	0	131

Precision?

1.0

Recall?

0.976

Freqs

test

number	freq
0	134
1	122

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-pow2: 6.0ms (46.8% of total)

ival-mult: 3.0ms (23.4% of total)

ival-sqrt: 3.0ms (23.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess18.0ms (0.6%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	12	13
2	32	13
3	99	13
4	153	13
5	247	13
6	273	13
7	293	13
0	5	6
0	8	6
1	13	6
2	27	6
3	64	6
4	132	6
5	204	6
6	240	6
7	263	6
8	278	6
0	278	3

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify7.0ms (0.3%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
cost-diff	3	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	13	16
2	27	16
3	64	16
4	132	16
5	204	16
6	240	16
7	263	16
8	278	16
0	278	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (1.5%)

Memory

-22.0MiB live, 23.9MiB allocated; 8ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 2 binary64))
accuracy	0.0078125	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy	28.803618810093425	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Samples

38.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-pow2: 27.0ms (83.6% of total)

ival-sqrt: 3.0ms (9.3% of total)

ival-mult: 2.0ms (6.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

simplify9.0ms (0.3%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	18	17
2	43	17
3	92	17
4	228	17
5	437	17
6	485	17
0	485	17

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 4

Calls

Call 1

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

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

rewrite91.0ms (3.2%)

Memory

-12.4MiB live, 83.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	24	12
2	80	10
0	488	9

Stop Event

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

Counts

3 → 96

Calls

Call 1

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

Outputs
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) x)
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) x)
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 x (neg.f64 (neg.f64 x)))
(hypot.f64 x (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 x (neg.f64 x))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x) (.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 x x (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) x))
(+.f64 (fma.f64 x x (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 x x)))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 x x) (.f64 x x))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (log.f64 x)) (cosh.f64 (log.f64 x))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval9.0ms (0.3%)

Memory: 17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 024 to 269 computations (73.7% saved)

prune9.0ms (0.3%)

Memory

-27.6MiB live, 17.5MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	92	8	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	8	101

Accuracy

100.0%

Counts

101 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	19.4%	(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
	52.9%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
▶	53.8%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
	28.2%	(sqrt.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x)))
▶	28.2%	(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
▶	55.0%	(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
	47.9%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 132 to 104 computations (21.2% saved)

simplify13.0ms (0.5%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
cost-diff	0	(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
cost-diff	2	(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))
cost-diff	3	(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
cost-diff	4	(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 2 binary64))
cost-diff	3	(sqrt.f64 (.f64 (.f64 x x) #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	(hypot.f64 x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	106
0	42	86
1	67	86
2	121	86
3	271	86
4	472	86
5	539	86
6	594	86
7	625	86
0	625	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(hypot.f64 x x)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 x)
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 0 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

Outputs
(hypot.f64 x x)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
(hypot.f64 x x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
(hypot.f64 x x)
(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) x) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(sqrt.f64 x)
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 0 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

localize89.0ms (3.2%)

Memory

9.9MiB live, 55.8MiB allocated; 6ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
accuracy	5.380207777921204	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
accuracy	7.068711436590046	(sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
accuracy	21.8747888506423	(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.09375	(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))
accuracy	0.10546875	(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
accuracy	15.915194468564174	(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	15.915194468564174	(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.23828125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0.015625	(hypot.f64 x x)

Samples

51.0ms	136×	0	valid
22.0ms	120×	0	invalid

Compiler

Compiled 113 to 25 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-sqrt: 37.0ms (61.2% of total)

ival-mult: 9.0ms (14.9% of total)

ival-pow: 7.0ms (11.6% of total)

ival-hypot: 5.0ms (8.3% of total)

ival-div: 1.0ms (1.7% of total)

ival-add: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (1.1%)

Memory

-27.7MiB live, 17.9MiB allocated; 6ms collecting garbage

Counts

16 → 15

Calls

Call 1

Inputs
(hypot.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(sqrt.f64 x)
(sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))

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

Calls

3 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	((sqrt (+ (* x x) (* x x))) (* (sqrt 2) x) (sqrt 2) (sqrt (* (* x x) 2)) (* (* x x) 2) (* x x) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (* x 2) (+ 0 (pow x 4)) (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (sqrt x) (sqrt (+ 0 (pow x 4))))
6.0ms	x	@	-inf	((sqrt (+ (* x x) (* x x))) (* (sqrt 2) x) (sqrt 2) (sqrt (* (* x x) 2)) (* (* x x) 2) (* x x) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (* x 2) (+ 0 (pow x 4)) (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (sqrt x) (sqrt (+ 0 (pow x 4))))
2.0ms	x	@	0	((sqrt (+ (* x x) (* x x))) (* (sqrt 2) x) (sqrt 2) (sqrt (* (* x x) 2)) (* (* x x) 2) (* x x) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (* x 2) (+ 0 (pow x 4)) (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (sqrt x) (sqrt (+ 0 (pow x 4))))

Time

Variable

Point

Expression

21.0ms

inf

((sqrt (+ (* x x) (* x x))) (* (sqrt 2) x) (sqrt 2) (sqrt (* (* x x) 2)) (* (* x x) 2) (* x x) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (* x 2) (+ 0 (pow x 4)) (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (sqrt x) (sqrt (+ 0 (pow x 4))))

6.0ms

-inf

((sqrt (+ (* x x) (* x x))) (* (sqrt 2) x) (sqrt 2) (sqrt (* (* x x) 2)) (* (* x x) 2) (* x x) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (* x 2) (+ 0 (pow x 4)) (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (sqrt x) (sqrt (+ 0 (pow x 4))))

2.0ms

((sqrt (+ (* x x) (* x x))) (* (sqrt 2) x) (sqrt 2) (sqrt (* (* x x) 2)) (* (* x x) 2) (* x x) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (* x 2) (+ 0 (pow x 4)) (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (sqrt x) (sqrt (+ 0 (pow x 4))))

simplify171.0ms (6.1%)

Memory

-6.1MiB live, 92.9MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	34	69
1	78	69
2	209	69
3	518	69
4	1392	69
5	2774	61
6	3777	61
7	4218	61
8	4568	61
9	4621	61
10	4621	61
11	4621	61
12	4621	61
13	5884	61
14	6697	61
15	6728	61
16	6728	61
17	6728	61
18	7629	61
0	8087	61

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
#s(literal 0 binary64)
(pow x 2)
(*.f64 x x)
(* 2 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 3) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(sqrt x)
(sqrt.f64 x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
#s(literal 0 binary64)
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* -1 (* (pow x 3) (sqrt 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite40.0ms (1.4%)

Memory

23.8MiB live, 69.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	88
0	42	58
1	123	54
0	664	54

Stop Event

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

Counts

16 → 372

Calls

Call 1

Inputs
(hypot.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(sqrt.f64 x)
(sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))

Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 x x))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x))
(neg.f64 (/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x)))
(neg.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 x) x)))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (neg.f64 x))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) x)
(hypot.f64 (neg.f64 (neg.f64 x)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) x)
(hypot.f64 (neg.f64 x) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 x (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(hypot.f64 x (neg.f64 (neg.f64 x)))
(hypot.f64 x (neg.f64 x))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 x x))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x))
(neg.f64 (/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x)))
(neg.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 x) x)))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (neg.f64 x))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) x)
(hypot.f64 (neg.f64 (neg.f64 x)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))
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(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 x x))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x))
(neg.f64 (/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x)))
(neg.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 x) x)))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (neg.f64 x))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) x)
(hypot.f64 (neg.f64 (neg.f64 x)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) x)
(hypot.f64 (neg.f64 x) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 x (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(hypot.f64 x (neg.f64 (neg.f64 x)))
(hypot.f64 x (neg.f64 x))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
(hypot.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (.f64 x x) #s(literal 3/2 binary64)))
(hypot.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(hypot.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(hypot.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(hypot.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(hypot.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(hypot.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64)))))
(fma.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal 12 binary64))) (sqrt.f64 (pow.f64 x #s(literal 8 binary64))))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)))

eval21.0ms (0.7%)

Memory: -1.9MiB live, 42.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 401 to 569 computations (76.3% saved)

prune24.0ms (0.9%)

Memory

11.0MiB live, 62.4MiB allocated; 8ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	191	4	195
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	194	9	203

Accuracy

100.0%

Counts

203 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	52.9%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	53.8%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	28.2%	(sqrt.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x)))
	20.6%	(sqrt.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x)))
▶	28.2%	(sqrt.f64 (.f64 (.f64 (+.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)))
✓	55.0%	(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
▶	4.0%	(sqrt.f64 #s(approx (* (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64)))
▶	47.9%	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 149 to 101 computations (32.2% saved)

simplify17.0ms (0.6%)

Memory

-25.3MiB live, 21.0MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 x (sqrt.f64 x))
cost-diff	3	(sqrt.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x)))
cost-diff	5	(fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x))
cost-diff	0	(+.f64 x x)
cost-diff	0	(*.f64 (+.f64 x x) (sqrt.f64 x))
cost-diff	3	(sqrt.f64 (.f64 (.f64 (+.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)))
cost-diff	4	(.f64 (.f64 (+.f64 x x) (sqrt.f64 x)) (sqrt.f64 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 (+ (* x x) (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (* (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64))
cost-diff	0	(sqrt.f64 #s(approx (* (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	129
0	45	125
1	75	101
2	137	101
3	287	101
4	483	101
5	562	101
6	603	101
7	633	101
8	638	101
0	638	92

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (2.7%)

Memory

33.0MiB live, 76.8MiB allocated; 8ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.03515625	(fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x))
accuracy	0.09375	(*.f64 x (sqrt.f64 x))
accuracy	15.915194468564174	(sqrt.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.09375	(*.f64 (+.f64 x x) (sqrt.f64 x))
accuracy	0.10546875	(.f64 (.f64 (+.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
accuracy	15.915194468564174	(sqrt.f64 (.f64 (.f64 (+.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	0.23828125	(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
accuracy	33.11889408116075	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
accuracy	15.915194468564174	(sqrt.f64 #s(approx (* (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64)))
accuracy	23.204247925961013	#s(approx (* (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64))
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.16796875	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))

Samples

41.0ms	120×	0	invalid
22.0ms	136×	0	valid

Compiler

Compiled 123 to 25 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-add: 25.0ms (48.9% of total)

ival-mult: 12.0ms (23.5% of total)

ival-sqrt: 8.0ms (15.7% of total)

ival-hypot: 4.0ms (7.8% of total)

ival-neg: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.8%)

Memory

-31.3MiB live, 13.5MiB allocated; 8ms collecting garbage

Counts

17 → 17

Calls

Call 1

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

Outputs
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(sqrt x)
(* 2 (pow x 2))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* 2 (sqrt (pow x 3)))
(sqrt (pow x 3))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ 1 (* -1 (pow (sqrt -1) 2))))
(* -1 (* x (sqrt (+ 1 (* -1 (pow (sqrt -1) 2))))))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

18.0ms

-inf

((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (+ (* x x) (* x x))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (* (* (+ x x) (sqrt x)) (sqrt x)) (sqrt (* (* (+ x x) (sqrt x)) (sqrt x))) (* (+ x x) (sqrt x)) (+ x x) (+ (* (* x (sqrt x)) (sqrt x)) (* x x)) (sqrt (+ (* (* x (sqrt x)) (sqrt x)) (* x x))) (* x (sqrt x)))

2.0ms

inf

((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (+ (* x x) (* x x))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (* (* (+ x x) (sqrt x)) (sqrt x)) (sqrt (* (* (+ x x) (sqrt x)) (sqrt x))) (* (+ x x) (sqrt x)) (+ x x) (+ (* (* x (sqrt x)) (sqrt x)) (* x x)) (sqrt (+ (* (* x (sqrt x)) (sqrt x)) (* x x))) (* x (sqrt x)))

2.0ms

((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (+ (* x x) (* x x))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (* (* (+ x x) (sqrt x)) (sqrt x)) (sqrt (* (* (+ x x) (sqrt x)) (sqrt x))) (* (+ x x) (sqrt x)) (+ x x) (+ (* (* x (sqrt x)) (sqrt x)) (* x x)) (sqrt (+ (* (* x (sqrt x)) (sqrt x)) (* x x))) (* x (sqrt x)))

simplify205.0ms (7.3%)

Memory

37.9MiB live, 225.7MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	80
1	106	80
2	299	80
3	697	80
4	1293	80
5	2178	80
6	3469	80
7	4392	80
8	5332	80
0	8292	80

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite72.0ms (2.6%)

Memory

-25.1MiB live, 72.7MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	115
0	45	84
1	116	68
0	593	61

Stop Event

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

Counts

17 → 355

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 x x))
(*.f64 (hypot.f64 x x) (sqrt.f64 x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) x)
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (sqrt.f64 x))
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 x) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(hypot.f64 x (neg.f64 (neg.f64 x)))
(hypot.f64 x (neg.f64 x))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 x x))
(*.f64 (hypot.f64 x x) (sqrt.f64 x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) x)
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (sqrt.f64 x))
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 x) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(hypot.f64 x (neg.f64 (neg.f64 x)))
(hypot.f64 x (neg.f64 x))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(.f64 x (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 x (.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 x x)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(approx ( (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (* (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(pow.f64 #s(approx (* (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx ( (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64))
#s(approx (sqrt (+ (* x x) (* x x))) (neg.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (hypot.f64 x x))
(neg.f64 x)
(*.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)))
(.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(.f64 x (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 x (.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 x x)
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 x x))
(*.f64 (hypot.f64 x x) (sqrt.f64 x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) x)
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (sqrt.f64 x))
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 x) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(hypot.f64 x (neg.f64 (neg.f64 x)))
(hypot.f64 x (neg.f64 x))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) x (pow.f64 x #s(literal 3/2 binary64)))
(fma.f64 x (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(.f64 x (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 x (.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 x x)
(.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(.f64 x (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 x (.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 x x)
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 x x))
(*.f64 (hypot.f64 x x) (sqrt.f64 x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) x)
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (sqrt.f64 x))
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 x) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(hypot.f64 x (neg.f64 (neg.f64 x)))
(hypot.f64 x (neg.f64 x))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(pow.f64 x #s(literal 3/2 binary64))

eval12.0ms (0.4%)

Memory: 22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 721 to 419 computations (75.7% saved)

prune9.0ms (0.3%)

Memory

-31.4MiB live, 14.4MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	0	1	1
Picked	1	4	5
Done	0	3	3
Total	147	10	157

Accuracy

100.0%

Counts

157 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	52.9%	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
✓	53.8%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	28.2%	(sqrt.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x)))
▶	20.6%	(sqrt.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x)))
✓	28.2%	(sqrt.f64 (.f64 (.f64 (+.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)))
✓	55.0%	(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
✓	4.0%	(sqrt.f64 #s(approx (* (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64)))
✓	47.9%	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
▶	47.8%	#s(approx (sqrt (+ (* x x) (* x x))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))

Compiler

Compiled 98 to 67 computations (31.6% saved)

simplify152.0ms (5.4%)

Memory

46.1MiB live, 135.8MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(+.f64 x x)
cost-diff	0	(sqrt.f64 (+.f64 x x))
cost-diff	0	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x))
cost-diff	0	(sqrt.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x)))
cost-diff	4	(/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x))
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 (+ (* x x) (* x x))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
cost-diff	3	(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	108
0	38	100
1	71	97
2	223	93
3	838	89
4	2154	89
5	5168	89
0	8421	86

Stop Event

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

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (* x x))) (.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)
(sqrt.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x))
(/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x x))
(+.f64 x x)
x
(sqrt.f64 x)

Outputs
#s(approx (sqrt (+ (* x x) (* x x))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* x x) (* x x))) (*.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)
(sqrt.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x)))
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) x) x) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (+.f64 x x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
(sqrt.f64 x)

localize86.0ms (3.1%)

Memory

-7.6MiB live, 81.4MiB allocated; 9ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(sqrt.f64 (+.f64 x x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.16796875	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
accuracy	0.0	(*.f64 x x)
accuracy	15.915194468564174	(sqrt.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x)))
accuracy	18.537813862260382	(/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x))
accuracy	22.25567433803352	(/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.23828125	(.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
accuracy	0.53125	(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
accuracy	33.11889408116075	#s(approx (sqrt (+ (* x x) (* x x))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))

Samples

50.0ms	136×	0	valid
20.0ms	120×	0	invalid

Compiler

Compiled 101 to 22 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-pow: 32.0ms (54.5% of total)

ival-mult: 7.0ms (11.9% of total)

ival-hypot: 5.0ms (8.5% of total)

ival-sqrt: 4.0ms (6.8% of total)

ival-div: 3.0ms (5.1% of total)

ival-exp: 2.0ms (3.4% of total)

ival-log: 2.0ms (3.4% of total)

ival-add: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.3%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Counts

14 → 13

Calls

Call 1

Inputs
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x x) (* x x))) (.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 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x))
(sqrt.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x)))
(/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x x))
(+.f64 x x)
(sqrt.f64 x)
(log.f64 #s(literal 2 binary64))
(*.f64 x x)

Outputs
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* 2 (pow x 2))
(* 2 (pow x 4))
(* 2 (pow x 6))
(* (sqrt x) (sqrt 2))
(* 2 x)
(sqrt x)
(pow x 2)
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((exp (* (log 2) 1/2)) (sqrt (+ (* x x) (* x x))) (* (neg x) (exp (* (log 2) 1/2))) (neg x) (/ (/ (* (pow x 6) 2) (* x x)) (* x x)) (sqrt (/ (/ (* (pow x 6) 2) (* x x)) (* x x))) (/ (* (pow x 6) 2) (* x x)) (* (pow x 6) 2) (* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (+ x x) (sqrt x) (log 2) (* x x))

2.0ms

inf

((exp (* (log 2) 1/2)) (sqrt (+ (* x x) (* x x))) (* (neg x) (exp (* (log 2) 1/2))) (neg x) (/ (/ (* (pow x 6) 2) (* x x)) (* x x)) (sqrt (/ (/ (* (pow x 6) 2) (* x x)) (* x x))) (/ (* (pow x 6) 2) (* x x)) (* (pow x 6) 2) (* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (+ x x) (sqrt x) (log 2) (* x x))

2.0ms

((exp (* (log 2) 1/2)) (sqrt (+ (* x x) (* x x))) (* (neg x) (exp (* (log 2) 1/2))) (neg x) (/ (/ (* (pow x 6) 2) (* x x)) (* x x)) (sqrt (/ (/ (* (pow x 6) 2) (* x x)) (* x x))) (/ (* (pow x 6) 2) (* x x)) (* (pow x 6) 2) (* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (+ x x) (sqrt x) (log 2) (* x x))

simplify243.0ms (8.6%)

Memory

-20.2MiB live, 209.4MiB allocated; 45ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	58
1	66	58
2	155	58
3	317	58
4	641	58
5	993	58
6	1069	58
7	1089	58
8	1089	58
9	1217	58
10	1273	58
11	1273	58
12	1281	58
13	1495	58
14	1831	58
15	2197	58
16	2649	58
17	3469	58
18	4859	58
19	6965	58
0	8065	58

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

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

rewrite112.0ms (4%)

Memory

-20.6MiB live, 96.6MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	94
0	38	83
1	105	70
0	593	67

Stop Event

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

Counts

14 → 214

Calls

Call 1

Inputs
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x x) (* x x))) (.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 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x))
(sqrt.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x)))
(/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x x))
(+.f64 x x)
(sqrt.f64 x)
(log.f64 #s(literal 2 binary64))
(*.f64 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))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))))))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)))
(fma.f64 (neg.f64 x) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 x) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)) (.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)))
(+.f64 (.f64 (neg.f64 x) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (neg.f64 x) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))))
(neg.f64 x)
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) x) (fabs.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) x) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) x) (neg.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) x) x) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (fabs.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 x)) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (neg.f64 x)))
(.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 x x)))
(.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) x) (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) x) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
(.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal 6 binary64))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal 6 binary64))) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x x)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal 6 binary64))) (.f64 x x))
(/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(neg.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x x)) (*.f64 x x)))
(neg.f64 (/.f64 (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal 6 binary64))) (.f64 (neg.f64 x) x)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x x))) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)) (/.f64 #s(literal 2 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 x)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 x)) (/.f64 #s(literal 2 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 6 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) x) (/.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 x x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) x) #s(literal 2 binary64)) x)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x x))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) x)) x)
(/.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x x)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal 3 binary64))) (fabs.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))
(+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 x x))
(*.f64 (hypot.f64 x x) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 x)) x)
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) x)
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (fabs.f64 x) (fabs.f64 x))
(hypot.f64 (fabs.f64 x) (neg.f64 x))
(hypot.f64 (fabs.f64 x) x)
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 x) (fabs.f64 x))
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 x (neg.f64 (fabs.f64 x)))
(hypot.f64 x (neg.f64 (neg.f64 x)))
(hypot.f64 x (fabs.f64 x))
(hypot.f64 x (neg.f64 x))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 x x))
(*.f64 (hypot.f64 x x) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 x)) x)
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) x)
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (fabs.f64 x) (fabs.f64 x))
(hypot.f64 (fabs.f64 x) (neg.f64 x))
(hypot.f64 (fabs.f64 x) x)
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 x) (fabs.f64 x))
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 x (neg.f64 (fabs.f64 x)))
(hypot.f64 x (neg.f64 (neg.f64 x)))
(hypot.f64 x (fabs.f64 x))
(hypot.f64 x (neg.f64 x))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x)))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) x))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 x (.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 x x)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(log.f64 #s(literal 2 binary64))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval18.0ms (0.6%)

Memory: 39.0MiB live, 39.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 821 to 634 computations (77.5% saved)

prune33.0ms (1.2%)

Memory

-33.0MiB live, 13.1MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	201	1	202
Fresh	0	0	0
Picked	1	2	3
Done	0	7	7
Total	202	10	212

Accuracy

100.0%

Counts

212 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	52.9%	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
✓	53.8%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	28.2%	(sqrt.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x)))
	27.6%	(sqrt.f64 (/.f64 #s(approx (/ (* (pow x 6) 2) (* x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 x x)))
✓	28.2%	(sqrt.f64 (.f64 (.f64 (+.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)))
✓	55.0%	(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
✓	4.0%	(sqrt.f64 #s(approx (* (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64)))
✓	47.9%	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
✓	47.8%	#s(approx (sqrt (+ (* x x) (* x x))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))

Compiler

Compiled 270 to 145 computations (46.3% saved)

regimes18.0ms (0.6%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 (+.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x)))
(hypot.f64 x x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(approx (/ (* (pow x 6) 2) (* x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 x x)))
(sqrt.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x)))
#s(approx (sqrt (+ (* x x) (* x x))) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))

Outputs
(hypot.f64 x x)

Calls

4 calls:

5.0ms	x
4.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
4.0ms	(pow.f64 x #s(literal 2 binary64))
4.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))

Results

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes15.0ms (0.5%)

Memory

-23.0MiB live, 22.8MiB allocated; 3ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
3.0ms	x
3.0ms	(pow.f64 x #s(literal 2 binary64))
3.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
79.5%	3	`(pow.f64 x #s(literal 2 binary64))`
79.5%	3	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
79.5%	3	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
99.4%	2	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes2.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes5.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
53.8%	1	`(pow.f64 x #s(literal 2 binary64))`
53.8%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
53.8%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
53.8%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 #s(approx (* (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
4.0%	1	`x`
4.0%	1	`(pow.f64 x #s(literal 2 binary64))`
4.0%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
4.0%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch16.0ms (0.6%)

Memory

-34.3MiB live, 19.7MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-8.826618343173874e-308	4.684574539598751e-306

Samples

7.0ms

128×

valid

Compiler

Compiled 161 to 145 computations (9.9% saved)

Precisions

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

ival-mult: 1.0ms (31.6% of total)

ival-sqrt: 1.0ms (31.6% of total)

ival-pow2: 1.0ms (31.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-8.826618343173874e-308	4.684574539598751e-306

Compiler

Compiled 137 to 137 computations (0% saved)

simplify41.0ms (1.5%)

Memory

34.3MiB live, 34.3MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	62
1	44	58
2	76	58
3	160	58
4	321	58
5	424	58
6	673	58
7	2706	58
8	4316	58

Stop Event

1×	node limit

Calls

Call 1

Inputs
(hypot.f64 x x)
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(approx (* (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64)))

Outputs
(hypot.f64 x x)
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(approx (* (* (* x 2) (sqrt x)) (sqrt x)) #s(literal 0 binary64)))

derivations288.0ms (10.2%)

Memory

-4.4MiB live, 132.1MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	69
1	78	69
2	209	69
3	518	69
4	1392	69
5	2774	61
6	3777	61
7	4218	61
8	4568	61
9	4621	61
10	4621	61
11	4621	61
12	4621	61
13	5884	61
14	6697	61
15	6728	61
16	6728	61
17	6728	61
18	7629	61
0	8087	61
0	5	14
0	8	14
1	24	12
2	80	10
0	488	9
0	28	115
0	45	84
1	116	68
0	593	61
0	8	17
1	18	17
2	43	17
3	92	17
4	228	17
5	437	17
6	485	17
0	485	17

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
1×	iter limit
1×	node limit

Compiler

Compiled 62 to 27 computations (56.5% saved)

preprocess48.0ms (1.7%)

Memory: -1.2MiB live, 49.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 136 to 64 computations (52.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	7	15
1	12	13
2	32	13
3	99	13
4	153	13
5	247	13
6	273	13
7	293	13
0	5	6
0	8	6
1	13	6
2	27	6
3	64	6
4	132	6
5	204	6
6	240	6
7	263	6
8	278	6
0	278	3

Iter	Nodes	Cost
0	28	129
0	45	125
1	75	101
2	137	101
3	287	101
4	483	101
5	562	101
6	603	101
7	633	101
8	638	101
0	638	92

Iter	Nodes	Cost
0	7	15
1	12	13
2	32	13
3	99	13
4	153	13
5	247	13
6	273	13
7	293	13
0	5	6
0	8	6
1	13	6
2	27	6
3	64	6
4	132	6
5	204	6
6	240	6
7	263	6
8	278	6
0	278	3

Iter	Nodes	Cost
0	28	129
0	45	125
1	75	101
2	137	101
3	287	101
4	483	101
5	562	101
6	603	101
7	633	101
8	638	101
0	638	92

start0.0ms (0%)

analyze0.0ms (0%)

sample657.0ms (23.3%)

explain74.0ms (2.6%)

preprocess18.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.3%)

localize42.0ms (1.5%)

series3.0ms (0.1%)

simplify9.0ms (0.3%)

rewrite91.0ms (3.2%)

eval9.0ms (0.3%)

prune9.0ms (0.3%)

simplify13.0ms (0.5%)

localize89.0ms (3.2%)

series30.0ms (1.1%)

simplify171.0ms (6.1%)

rewrite40.0ms (1.4%)

eval21.0ms (0.7%)

prune24.0ms (0.9%)

simplify17.0ms (0.6%)

localize77.0ms (2.7%)

series22.0ms (0.8%)

simplify205.0ms (7.3%)

rewrite72.0ms (2.6%)

eval12.0ms (0.4%)

prune9.0ms (0.3%)

simplify152.0ms (5.4%)

localize86.0ms (3.1%)

series7.0ms (0.3%)

simplify243.0ms (8.6%)

rewrite112.0ms (4%)

eval18.0ms (0.6%)

prune33.0ms (1.2%)

regimes18.0ms (0.6%)

regimes15.0ms (0.5%)

regimes2.0ms (0.1%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch16.0ms (0.6%)

bsearch1.0ms (0%)

simplify41.0ms (1.5%)

derivations288.0ms (10.2%)

preprocess48.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	15
1	12	13
2	32	13
3	99	13
4	153	13
5	247	13
6	273	13
7	293	13
0	5	6
0	8	6
1	13	6
2	27	6
3	64	6
4	132	6
5	204	6
6	240	6
7	263	6
8	278	6
0	278	3

Iter	Nodes	Cost
0	28	129
0	45	125
1	75	101
2	137	101
3	287	101
4	483	101
5	562	101
6	603	101
7	633	101
8	638	101
0	638	92