sqrt sqr

Time bar (total: 1.9s)

start0.0ms (0.0%)

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

analyze2.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%100.0%0.0%0.0%0.0%0.0%0
0.0%0.0%100.0%0.0%0.0%0.0%0.0%1
50.0%50.0%50.0%0.0%0.0%0.0%0.0%2
75.0%75.0%25.0%0.0%0.0%0.0%0.0%3
87.5%87.5%12.5%0.0%0.0%0.0%0.0%4
93.8%93.7%6.2%0.0%0.0%0.0%0.0%5
96.9%96.8%3.1%0.0%0.0%0.0%0.0%6
98.4%98.4%1.6%0.0%0.0%0.0%0.0%7
99.2%99.2%0.8%0.0%0.0%0.0%0.0%8
99.6%99.6%0.4%0.0%0.0%0.0%0.0%9
99.8%99.8%0.2%0.0%0.0%0.0%0.0%10
99.9%99.9%0.1%0.0%0.0%0.0%0.0%11
100.0%99.9%0.0%0.0%0.0%0.0%0.0%12
Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.5s (75.6%)

Memory
89.5MiB live, 1 570.6MiB allocated; 1.2s collecting garbage
Samples
919.0ms4 081×2valid
265.0ms4 175×0valid
Precisions
Click to see histograms. Total time spent on operations: 938.0ms
ival-div!: 530.0ms (56.5% of total)
ival-mult!: 155.0ms (16.5% of total)
ival-sqrt: 108.0ms (11.5% of total)
adjust: 106.0ms (11.3% of total)
ival-sub!: 39.0ms (4.2% of total)
Bogosity

preprocess50.0ms (2.6%)

Memory
-63.5MiB live, 52.7MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01626
18719
238615
3350915
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Compiler

Compiled 24 to 16 computations (33.3% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series9.0ms (0.5%)

Memory
24.4MiB live, 24.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02168
Stop Event
iter-limit
Counts
8 → 8
Calls
Call 1
Inputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(/.f64 x x)
x
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(approx (/ x x) #s(literal 1 binary64))
#s(approx x x)
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(literal -1 binary64))
#s(approx (sqrt (* x x)) (*.f64 #s(literal -1 binary64) x))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
-inf
1.0ms
x
0
1.0ms
x
inf

rewrite116.0ms (6.0%)

Memory
-16.8MiB live, 119.2MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0835
01425
17521
229119
3261119
0425219
Stop Event
iter-limit
node-limit
iter-limit
Counts
8 → 573
Calls
Call 1
Inputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(/.f64 x x)
x
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 x x))
(*.f64 x x)
Outputs
(*.f64 (-.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 x) (-.f64 x (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 (*.f64 x (-.f64 x (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (neg.f64 x) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (fabs.f64 x) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (copysign.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 (copysign.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) x)) (copysign.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 (fabs.f64 x)) x))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) x)))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (fabs.f64 x))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 x (fabs.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 x (-.f64 x (fabs.f64 x))) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 (*.f64 x (-.f64 x (fabs.f64 x))) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 x (-.f64 x (fabs.f64 x))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (fma.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 x) (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) x x) x)
(/.f64 (fma.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (fabs.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 (fabs.f64 x)) x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) (copysign.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (copysign.f64 #s(literal -1 binary64) (neg.f64 x)))))
(/.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 x)))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 #s(literal 2 binary64) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (fabs.f64 x)) x (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 x)))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (+.f64 (neg.f64 (fabs.f64 x)) x)) (neg.f64 x))
(/.f64 (-.f64 x (fabs.f64 x)) x)
(/.f64 (-.f64 (fabs.f64 x) x) (neg.f64 x))
(/.f64 (+.f64 (neg.f64 (fabs.f64 x)) x) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) (copysign.f64 #s(literal -1 binary64) (neg.f64 x)))) (-.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) (copysign.f64 #s(literal -1 binary64) (neg.f64 x))) (copysign.f64 #s(literal -1 binary64) (neg.f64 x)))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (fabs.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 x (-.f64 x (fabs.f64 x))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (fabs.f64 x) x)) (*.f64 x x))
(/.f64 (*.f64 x (-.f64 (fabs.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (copysign.f64 #s(literal -1 binary64) x) (copysign.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (copysign.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (copysign.f64 #s(literal -1 binary64) x) (copysign.f64 #s(literal -1 binary64) x) (copysign.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) (-.f64 x (fabs.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (fabs.f64 x)))))
(neg.f64 (-.f64 (copysign.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 (fabs.f64 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (-.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) (-.f64 x (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (-.f64 x (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (fabs.f64 x) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 (copysign.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (copysign.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64))
(fma.f64 x (*.f64 (copysign.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (fabs.f64 x))) #s(literal 0 binary64))
(fma.f64 x (/.f64 (copysign.f64 #s(literal -1 binary64) x) (neg.f64 x)) #s(literal 1 binary64))
(-.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) x))
(+.f64 (+.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (copysign.f64 #s(literal -1 binary64) (neg.f64 x))))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (copysign.f64 #s(literal -1 binary64) x)))
(+.f64 (-.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (copysign.f64 #s(literal -1 binary64) (neg.f64 x))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (copysign.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) (neg.f64 x)))
#s(literal 1 binary64)
x
(*.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (fabs.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) x) (copysign.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (copysign.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (copysign.f64 #s(literal -1 binary64) x)))
(*.f64 (copysign.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x))
(*.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) x))
(*.f64 x (*.f64 (copysign.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (copysign.f64 #s(literal -1 binary64) x)))
(*.f64 x (/.f64 (copysign.f64 #s(literal -1 binary64) x) x))
(*.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(copysign.f64 #s(literal -1 binary64) x)
(copysign.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(copysign.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) x))
(copysign.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 #s(literal 2 binary64) (copysign.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (fabs.f64 x))) (*.f64 x x))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 (fabs.f64 x) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) x) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x)) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (*.f64 (fabs.f64 x) x) x) (*.f64 (*.f64 x x) x))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fabs.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (fabs.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (*.f64 x (*.f64 (neg.f64 x) (fabs.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 (fabs.f64 x) x)) (*.f64 (*.f64 x x) x))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (fabs.f64 x) x) (*.f64 x x))
(/.f64 (fabs.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) x))
(/.f64 x (fabs.f64 x))
(neg.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
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(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (fabs.f64 x) (*.f64 (neg.f64 x) (fabs.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x)) x)
(/.f64 (*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (fabs.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (fabs.f64 x) x) (fabs.f64 x)) x)
(/.f64 (*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (fabs.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (*.f64 (fabs.f64 x) x) (*.f64 (neg.f64 x) (fabs.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(neg.f64 (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (fabs.f64 x)) x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) x)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) x)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(fabs.f64 (/.f64 (*.f64 (*.f64 (fabs.f64 x) x) (*.f64 x x)) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(fabs.f64 (/.f64 (*.f64 (*.f64 (fabs.f64 x) x) (*.f64 x x)) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))))
(fabs.f64 (/.f64 (*.f64 (*.f64 (fabs.f64 x) x) (*.f64 x x)) (*.f64 (neg.f64 (fabs.f64 x)) x)))
(fabs.f64 (/.f64 (*.f64 (*.f64 (fabs.f64 x) x) (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (*.f64 (fabs.f64 x) x) (*.f64 x x)) (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (*.f64 (fabs.f64 x) x) (*.f64 x x)) (*.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (/.f64 (*.f64 (*.f64 (fabs.f64 x) x) (*.f64 x x)) (*.f64 (neg.f64 x) x)))
(fabs.f64 (/.f64 (*.f64 (*.f64 (fabs.f64 x) x) (*.f64 x x)) (*.f64 (fabs.f64 x) x)))
(fabs.f64 (/.f64 (*.f64 (*.f64 (fabs.f64 x) x) (*.f64 x x)) (*.f64 x x)))
(fabs.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) x)) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(fabs.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) x)) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))))
(fabs.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) x)) (*.f64 (neg.f64 (fabs.f64 x)) x)))
(fabs.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) x)) (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) x)) (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) x)) (*.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) x)) (*.f64 (neg.f64 x) x)))
(fabs.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) x)) (*.f64 (fabs.f64 x) x)))
(fabs.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) x)) (*.f64 x x)))
(fabs.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(fabs.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))))
(fabs.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (neg.f64 (fabs.f64 x)) x)))
(fabs.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (neg.f64 x) x)))
(fabs.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (fabs.f64 x) x)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 x) x)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (fabs.f64 x) x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval68.0ms (3.5%)

Memory
35.7MiB live, 172.1MiB allocated; 26ms collecting garbage
Compiler

Compiled 9 694 to 2 090 computations (78.4% saved)

prune14.0ms (0.7%)

Memory
-4.5MiB live, 40.2MiB allocated; 6ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New5732575
Fresh000
Picked101
Done000
Total5742576
Accuracy
100.0%
Counts
576 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
55.3%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Compiler

Compiled 28 to 20 computations (28.6% saved)

sample0.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
0
2
Outputs
#s(literal 0 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series6.0ms (0.3%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
Stop Event
iter-limit
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
Calls

3 calls:

TimeVariablePoint
1.0ms
x
inf
1.0ms
x
-inf
1.0ms
x
0

rewrite127.0ms (6.5%)

Memory
-17.4MiB live, 171.3MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01230
01222
17318
232716
3384816
0444916
Stop Event
iter-limit
node-limit
saturated
Counts
4 → 4
Calls
Call 1
Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(literal 2 binary64)

eval0.0ms (0.0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done000
Total022
Accuracy
100.0%
Counts
2 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
55.3%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes23.0ms (1.2%)

Memory
-6.0MiB live, 45.3MiB allocated; 8ms collecting garbage
Counts
1 → 1
3 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Call 2
Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Calls

4 calls:

13.0ms
x
4.0ms
x
3.0ms
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
2.0ms
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Results
AccuracySegmentsBranch
55.3%1(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
55.3%1x
91.7%2(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
100.0%2x
Compiler

Compiled 66 to 37 computations (43.9% saved)

bsearch37.0ms (1.9%)

Memory
19.7MiB live, 65.3MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
-1.495471914364338e-306
4.061950598834863e-297
Samples
17.0ms94×2valid
5.0ms66×0valid
Compiler

Compiled 295 to 232 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
adjust: 4.0ms (24.8% of total)
ival-div!: 4.0ms (24.8% of total)
ival-mult!: 4.0ms (24.8% of total)
ival-sqrt: 3.0ms (18.6% of total)
ival-sub!: 1.0ms (6.2% of total)

derivations1.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 46 to 15 computations (67.4% saved)

preprocess18.0ms (0.9%)

Memory
-14.8MiB live, 30.7MiB allocated; 5ms collecting garbage
Compiler

Compiled 58 to 23 computations (60.3% saved)

end0.0ms (0.0%)

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

Profiling

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