Metrics for sqrt A (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 10 to 4 computations (60% saved)

sample634.0ms (41.1%)

Memory

-2.7MiB live, 459.9MiB allocated; 229ms collecting garbage

Samples

406.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

ival-hypot: 223.0ms (93.6% of total)

adjust: 15.0ms (6.3% of total)

Bogosity

preprocess86.0ms (5.6%)

Memory

-17.9MiB live, 28.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	38	19
2	117	19
3	209	19
4	601	19
5	3250	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.4%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Symmetry

(abs x)

Compiler

Compiled 16 to 8 computations (50% saved)

series65.0ms (4.2%)

Memory

22.1MiB live, 22.1MiB allocated; 0ms collecting garbage

Counts

4 → 5

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(+.f64 (.f64 x x) (.f64 x x))
(*.f64 x x)
x

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

Calls

3 calls:

Time	Variable	Point
2.0ms	x	0
1.0ms	x	inf
1.0ms	x	-inf

rewrite168.0ms (10.9%)

Memory

19.5MiB live, 65.1MiB allocated; 10ms collecting garbage

Counts

4 → 25

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(+.f64 (.f64 x x) (.f64 x x))
(*.f64 x x)
x

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

eval3.0ms (0.2%)

Memory: 2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 220 to 62 computations (71.8% saved)

prune2.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	4	28

Accuracy

100.0%

Counts

28 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	54.4%	(sqrt.f64 (*.f64 x (+.f64 x x)))
▶	99.4%	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
▶	2.1%	#s(approx (sqrt (+ (* x x) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 37 to 24 computations (35.1% saved)

series75.0ms (4.8%)

Memory

-26.2MiB live, 19.8MiB allocated; 3ms collecting garbage

Counts

12 → 5

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(literal -1 binary64)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(*.f64 x (+.f64 x x))
(+.f64 x x)
(hypot.f64 x x)

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

Calls

3 calls:

Time	Variable	Point
6.0ms	x	-inf
2.0ms	x	inf
2.0ms	x	0

rewrite174.0ms (11.3%)

Memory

30.0MiB live, 79.5MiB allocated; 19ms collecting garbage

Counts

12 → 166

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(literal -1 binary64)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(*.f64 x (+.f64 x x))
(+.f64 x x)
(hypot.f64 x x)

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

eval22.0ms (1.4%)

Memory: -25.2MiB live, 17.7MiB allocated; 12ms collecting garbage
Compiler: Compiled 1 354 to 258 computations (80.9% saved)

prune5.0ms (0.3%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	123	6	129

Accuracy

100.0%

Counts

129 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	54.4%	(sqrt.f64 (*.f64 x (+.f64 x x)))
▶	20.3%	#s(approx (sqrt (+ (* x x) (* x x))) (+.f64 x x))
✓	99.4%	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
▶	2.1%	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x #s(literal -2 binary64)))
✓	2.1%	#s(approx (sqrt (+ (* x x) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 61 to 37 computations (39.3% saved)

series65.0ms (4.2%)

Memory

-10.0MiB live, 36.0MiB allocated; 12ms collecting garbage

Counts

6 → 5

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
2.0ms	x	inf
1.0ms	x	-inf
1.0ms	x	0

rewrite126.0ms (8.2%)

Memory

6.0MiB live, 51.3MiB allocated; 14ms collecting garbage

Counts

6 → 9

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 119 to 32 computations (73.1% saved)

prune3.0ms (0.2%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	9	0	9
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	9	6	15

Accuracy

100.0%

Counts

15 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	54.4%	(sqrt.f64 (*.f64 x (+.f64 x x)))
✓	20.3%	#s(approx (sqrt (+ (* x x) (* x x))) (+.f64 x x))
✓	99.4%	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
✓	2.1%	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x #s(literal -2 binary64)))
✓	2.1%	#s(approx (sqrt (+ (* x x) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 61 to 37 computations (39.3% saved)

regimes51.0ms (3.3%)

Memory

-20.7MiB live, 36.2MiB allocated; 10ms collecting garbage

Accuracy

Total -11.7b remaining (-22.7%)

Threshold costs -11.7b (-22.7%)

Counts

2 → 1

6 → 1

7 → 1

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* x x) (* x x))) (+.f64 x x))

Call 2

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

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

Call 3

Inputs
#s(approx (sqrt (+ (* x x) (* x x))) (+.f64 x x))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x #s(literal -2 binary64)))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
#s(approx (sqrt (+ (* x x) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(hypot.f64 x x)

Outputs
(hypot.f64 x x)

Calls

12 calls:

10.0ms	(*.f64 x x)
6.0ms	(+.f64 (.f64 x x) (.f64 x x))
5.0ms	x
4.0ms	(+.f64 (.f64 x x) (.f64 x x))
4.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
20.3%	1	`(*.f64 x x)`
20.3%	1	`(+.f64 (.f64 x x) (.f64 x x))`
20.3%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
20.3%	1	`x`
99.4%	1	`(*.f64 x x)`
99.4%	1	`(+.f64 (.f64 x x) (.f64 x x))`
99.4%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
99.4%	1	`x`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(+.f64 (.f64 x x) (.f64 x x))`
100.0%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
100.0%	1	`x`

Compiler

Compiled 126 to 52 computations (58.7% saved)

derivations1.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 28 to 11 computations (60.7% saved)

preprocess63.0ms (4.1%)

Memory: 17.4MiB live, 63.3MiB allocated; 24ms collecting garbage
Compiler: Compiled 92 to 47 computations (48.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample634.0ms (41.1%)

preprocess86.0ms (5.6%)

series65.0ms (4.2%)

rewrite168.0ms (10.9%)

eval3.0ms (0.2%)

prune2.0ms (0.1%)

series75.0ms (4.8%)

rewrite174.0ms (11.3%)

eval22.0ms (1.4%)

prune5.0ms (0.3%)

series65.0ms (4.2%)

rewrite126.0ms (8.2%)

eval1.0ms (0.1%)

prune3.0ms (0.2%)

regimes51.0ms (3.3%)

derivations1.0ms (0%)

preprocess63.0ms (4.1%)

end0.0ms (0%)

Profiling