Metrics for sqrt E (should all be same)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 6 computations (40% saved)

sample821.0ms (11.4%)

Memory

-45.1MiB live, 403.3MiB allocated; 207ms collecting garbage

Samples

526.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 327.0ms

ival-pow2: 167.0ms (51.1% of total)

ival-sqrt: 134.0ms (41% of total)

ival-add!: 24.0ms (7.3% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess91.0ms (1.3%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	25	19
2	72	19
3	189	19
4	609	19
5	3566	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.8%	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Symmetry

(abs x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

series102.0ms (1.4%)

Memory

-4.1MiB live, 45.4MiB allocated; 12ms collecting garbage

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

rewrite1.6s (21.9%)

Memory

-14.9MiB live, 607.9MiB allocated; 56ms collecting garbage

Counts

5 → 1 021

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 x x) x)))
(.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (neg.f64 #s(literal 1 binary64))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x x) x))) (neg.f64 #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (sqrt.f64 (.f64 (+.f64 x x) x))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (sqrt.f64 (.f64 (+.f64 x x) x))))
(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 (+.f64 x x) x))) (sqrt.f64 (*.f64 (+.f64 x x) x)))
(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) #s(literal 0 binary64)) (sqrt.f64 (*.f64 (+.f64 x x) x)))
(+.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (+.f64 x x) x))))
(+.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) #s(literal 1 binary64))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (neg.f64 #s(literal 2 binary64))) (neg.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) #s(literal 0 binary64) (sqrt.f64 (.f64 (+.f64 x x) x)))
(fma.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 (+.f64 x x) x)) (sqrt.f64 (.f64 (+.f64 x x) x)))
(fma.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 (+.f64 x x) x))))
(fma.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 (+.f64 x x) x))))
(fma.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 (+.f64 x x) x))))
(fma.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (+.f64 x x) x))))
(fma.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) #s(literal 1 binary64) (.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 x x) x)) (.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (+.f64 x x) x))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 x x) x)) (.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (sqrt.f64 (.f64 (+.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (+.f64 x x) x))))
(hypot.f64 x x)
(hypot.f64 (fabs.f64 x) (fabs.f64 x))
(hypot.f64 (fabs.f64 x) x)
(hypot.f64 (fabs.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) (fabs.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) #s(literal 0 binary64))
(hypot.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (+.f64 x x) x)))
(hypot.f64 x (fabs.f64 x))
(hypot.f64 x (neg.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (neg.f64 (fabs.f64 x)) x)
(hypot.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))
(hypot.f64 (*.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))) (fabs.f64 x))
(hypot.f64 (.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))) (.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (*.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))) x)
(hypot.f64 (.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))) (.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))) (neg.f64 x))
(hypot.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(hypot.f64 (.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)) (.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)) x)
(hypot.f64 (.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)) (.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)))
(hypot.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)) (neg.f64 x))
(hypot.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (neg.f64 #s(literal 1 binary64))) #s(literal 0 binary64))
(hypot.f64 (.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (.f64 (+.f64 x x) x))) #s(literal 0 binary64))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))) #s(literal 0 binary64))
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (fabs.f64 x) (*.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)))
(hypot.f64 x (neg.f64 (fabs.f64 x)))
(hypot.f64 x (*.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 x (*.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 x) (*.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (neg.f64 x) (*.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)))
(hypot.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 #s(literal 0 binary64) (.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (.f64 (+.f64 x x) x))))
(hypot.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))) (fabs.f64 x))
(hypot.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))) (.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))) (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))) x)
(hypot.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))) (.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)))
(hypot.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))) (.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 x))
(hypot.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(hypot.f64 (.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) (.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) x)
(hypot.f64 (.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) (.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)))
(hypot.f64 (.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) (.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))))
(hypot.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) (neg.f64 x))
(hypot.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x x) x))) (neg.f64 #s(literal 1 binary64))) #s(literal 0 binary64))
(hypot.f64 (.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (.f64 (+.f64 x x) x)))) #s(literal 0 binary64))
(hypot.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))))
(hypot.f64 (fabs.f64 x) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (fabs.f64 x) (*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))))
(hypot.f64 (.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))) (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64))) (.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))))
(hypot.f64 x (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 x (*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))))
(hypot.f64 (.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x)) (.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))))
(hypot.f64 (neg.f64 x) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (neg.f64 x) (*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))))
(hypot.f64 #s(literal 0 binary64) (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x x) x))) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 #s(literal 0 binary64) (.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (.f64 (+.f64 x x) x)))))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))))
(neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (neg.f64 #s(literal 1 binary64))))
(pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (+.f64 x x) (+.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (sqrt.f64 (*.f64 (+.f64 x x) x)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(*.f64 x (+.f64 x x))
(.f64 (.f64 (+.f64 x x) (+.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 x x) x) #s(literal 1 binary64))
(*.f64 (-.f64 (neg.f64 x) x) (neg.f64 x))
(.f64 (.f64 (-.f64 (neg.f64 x) x) x) (neg.f64 #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 #s(literal 2 binary64)))
(*.f64 (fabs.f64 (+.f64 x x)) (fabs.f64 x))
(*.f64 (neg.f64 (fabs.f64 (+.f64 x x))) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (.f64 (+.f64 x x) x))) (.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (*.f64 (+.f64 x x) x))))
(.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) (neg.f64 #s(literal 1 binary64))) (.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) (neg.f64 #s(literal 1 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 (+.f64 x x))))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x x) x))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 x x) x))
(*.f64 (fabs.f64 x) (fabs.f64 (+.f64 x x)))
(.f64 (neg.f64 #s(literal 1 binary64)) (.f64 (-.f64 (neg.f64 x) x) x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (+.f64 x x) (+.f64 x x)))
(.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 (.f64 x x)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) x))
(.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x x) x))) (neg.f64 #s(literal 1 binary64))) (.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))) (neg.f64 #s(literal 1 binary64))))
(.f64 (.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (.f64 (+.f64 x x) x)))) (.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)))))
(.f64 (/.f64 (.f64 (+.f64 x x) (+.f64 x x)) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (-.f64 (neg.f64 x) x) x))
(fabs.f64 (*.f64 (fabs.f64 x) (+.f64 x x)))
(fabs.f64 (*.f64 (+.f64 x x) (fabs.f64 x)))
(fabs.f64 (*.f64 (+.f64 x x) x))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (+.f64 x x)))
(fabs.f64 (*.f64 (fabs.f64 x) (-.f64 (neg.f64 x) x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (-.f64 (neg.f64 x) x)))
(fabs.f64 (*.f64 x (fabs.f64 (+.f64 x x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 (+.f64 x x))))
(fabs.f64 (*.f64 (+.f64 x x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (-.f64 (neg.f64 x) x) (fabs.f64 x)))
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(fabs.f64 (*.f64 (fabs.f64 (+.f64 x x)) x))
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eval132.0ms (1.8%)

Memory: 35.2MiB live, 177.6MiB allocated; 27ms collecting garbage
Compiler: Compiled 10 712 to 2 791 computations (73.9% saved)

prune20.0ms (0.3%)

Memory

1.7MiB live, 46.4MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1 018	5	1 023
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 019	5	1 024

Accuracy

100.0%

Counts

1 024 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.8%	(pow.f64 (.f64 (.f64 (+.f64 x x) (+.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
▶	100.0%	(hypot.f64 x x)
▶	55.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.3%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
▶	2.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 76 to 70 computations (7.9% saved)

series173.0ms (2.4%)

Memory

-4.5MiB live, 128.2MiB allocated; 34ms collecting garbage

Counts

18 → 11

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
39.0ms	x	@	0	((sqrt (+ (* x x) (* x x))) x (sqrt (+ (pow x 2) (pow x 2))) (* x (sqrt 2)) (sqrt 2) 2 (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (sqrt (+ (pow x 2) (pow x 2))) (* -1 (* x (sqrt 2))) -1 (pow (* (* (+ x x) (+ x x)) (* x x)) (/ 1/2 2)) (* (* (+ x x) (+ x x)) (* x x)) (* (+ x x) (+ x x)) (* x x) (/ 1/2 2) 1/2)
32.0ms	x	@	-inf	((sqrt (+ (* x x) (* x x))) x (sqrt (+ (pow x 2) (pow x 2))) (* x (sqrt 2)) (sqrt 2) 2 (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (sqrt (+ (pow x 2) (pow x 2))) (* -1 (* x (sqrt 2))) -1 (pow (* (* (+ x x) (+ x x)) (* x x)) (/ 1/2 2)) (* (* (+ x x) (+ x x)) (* x x)) (* (+ x x) (+ x x)) (* x x) (/ 1/2 2) 1/2)
16.0ms	x	@	inf	((sqrt (+ (* x x) (* x x))) x (sqrt (+ (pow x 2) (pow x 2))) (* x (sqrt 2)) (sqrt 2) 2 (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (sqrt (+ (pow x 2) (pow x 2))) (* -1 (* x (sqrt 2))) -1 (pow (* (* (+ x x) (+ x x)) (* x x)) (/ 1/2 2)) (* (* (+ x x) (+ x x)) (* x x)) (* (+ x x) (+ x x)) (* x x) (/ 1/2 2) 1/2)

Time

Variable

Point

Expression

39.0ms

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

32.0ms

-inf

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

16.0ms

inf

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

rewrite1.5s (20.5%)

Memory

12.9MiB live, 689.3MiB allocated; 79ms collecting garbage

Counts

18 → 2 523

Calls

Call 1

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

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

eval456.0ms (6.3%)

Memory: 19.5MiB live, 437.0MiB allocated; 83ms collecting garbage
Compiler: Compiled 28 929 to 7 113 computations (75.4% saved)

prune63.0ms (0.9%)

Memory

-32.0MiB live, 61.6MiB allocated; 9ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	2 909	2	2 911
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	2 911	5	2 916

Accuracy

100.0%

Counts

2 916 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	55.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	2.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
✓	99.3%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
▶	2.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))))

Compiler

Compiled 45 to 41 computations (8.9% saved)

series83.0ms (1.2%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

15 → 6

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((sqrt (+ (pow x 2) (pow x 2))) (* -1 (* x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1)))) -1 (* x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1))) x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1)) (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1) (/ 2 (sqrt 2)) 2 (sqrt 2) (/ 1 (sqrt 2)) 1 (sqrt (+ (pow x 2) (pow x 2))) (* (sqrt 2) (neg x)) (neg x))
2.0ms	x	@	inf	((sqrt (+ (pow x 2) (pow x 2))) (* -1 (* x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1)))) -1 (* x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1))) x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1)) (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1) (/ 2 (sqrt 2)) 2 (sqrt 2) (/ 1 (sqrt 2)) 1 (sqrt (+ (pow x 2) (pow x 2))) (* (sqrt 2) (neg x)) (neg x))
2.0ms	x	@	-inf	((sqrt (+ (pow x 2) (pow x 2))) (* -1 (* x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1)))) -1 (* x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1))) x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1)) (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1) (/ 2 (sqrt 2)) 2 (sqrt 2) (/ 1 (sqrt 2)) 1 (sqrt (+ (pow x 2) (pow x 2))) (* (sqrt 2) (neg x)) (neg x))

Time

Variable

Point

Expression

3.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

rewrite948.0ms (13.1%)

Memory

-31.5MiB live, 557.2MiB allocated; 56ms collecting garbage

Counts

15 → 823

Calls

Call 1

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

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

eval67.0ms (0.9%)

Memory: 47.6MiB live, 91.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 5 475 to 2 821 computations (48.5% saved)

prune18.0ms (0.2%)

Memory

-29.8MiB live, 17.8MiB allocated; 14ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	482	1	483
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	483	5	488

Accuracy

100.0%

Counts

488 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	55.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
✓	2.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
✓	99.3%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
▶	2.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 40 to 37 computations (7.5% saved)

series76.0ms (1%)

Memory

1.0MiB live, 44.8MiB allocated; 12ms collecting garbage

Counts

8 → 5

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((sqrt (+ (pow x 2) (pow x 2))) (* -1 (* x (/ 2 (sqrt 2)))) -1 (* x (/ 2 (sqrt 2))) x (/ 2 (sqrt 2)) 2 (sqrt 2))
1.0ms	x	@	0	((sqrt (+ (pow x 2) (pow x 2))) (* -1 (* x (/ 2 (sqrt 2)))) -1 (* x (/ 2 (sqrt 2))) x (/ 2 (sqrt 2)) 2 (sqrt 2))
1.0ms	x	@	-inf	((sqrt (+ (pow x 2) (pow x 2))) (* -1 (* x (/ 2 (sqrt 2)))) -1 (* x (/ 2 (sqrt 2))) x (/ 2 (sqrt 2)) 2 (sqrt 2))

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

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

1.0ms

-inf

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

rewrite973.0ms (13.5%)

Memory

10.8MiB live, 586.9MiB allocated; 196ms collecting garbage

Counts

8 → 393

Calls

Call 1

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

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

eval63.0ms (0.9%)

Memory: -6.3MiB live, 35.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 472 to 1 301 computations (47.4% saved)

prune7.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	295	1	296
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	296	5	301

Accuracy

100.0%

Counts

301 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	55.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
✓	2.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
✓	99.3%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
	2.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(approx (* -1 (* x (/ 2 (sqrt 2)))) (*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 111 to 91 computations (18% saved)

regimes12.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs
(hypot.f64 x x)

Calls

4 calls:

3.0ms	x
3.0ms	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
3.0ms	(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
3.0ms	(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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
100.0%	1	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
100.0%	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes8.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Accuracy

Total -62.0b remaining (-14053.7%)

Threshold costs -62b (-14053.7%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`(pow.f64 x #s(literal 2 binary64))`
99.3%	1	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
99.3%	1	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
99.3%	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

derivations0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 11 to 10 computations (9.1% saved)

preprocess47.0ms (0.6%)

Memory: 30.4MiB live, 63.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 42 to 37 computations (11.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample821.0ms (11.4%)

preprocess91.0ms (1.3%)

series102.0ms (1.4%)

rewrite1.6s (21.9%)

eval132.0ms (1.8%)

prune20.0ms (0.3%)

series173.0ms (2.4%)

rewrite1.5s (20.5%)

eval456.0ms (6.3%)

prune63.0ms (0.9%)

series83.0ms (1.2%)

rewrite948.0ms (13.1%)

eval67.0ms (0.9%)

prune18.0ms (0.2%)

series76.0ms (1%)

rewrite973.0ms (13.5%)

eval63.0ms (0.9%)

prune7.0ms (0.1%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

derivations0.0ms (0%)

preprocess47.0ms (0.6%)

end0.0ms (0%)

Profiling