sqrt sqr

Time bar (total: 1.7s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.4s (77.4%)

Memory
57.3MiB live, 1 496.5MiB allocated; 1.1s collecting garbage
Samples
594.0ms4 153×2valid
487.0ms4 103×0valid
Precisions
Click to see histograms. Total time spent on operations: 871.0ms
ival-mult!: 396.0ms (45.5% of total)
ival-div!: 218.0ms (25% of total)
ival-sqrt: 115.0ms (13.2% of total)
adjust: 104.0ms (11.9% of total)
ival-sub!: 38.0ms (4.4% of total)
Bogosity

preprocess41.0ms (2.4%)

Memory
-11.7MiB live, 32.7MiB allocated; 13ms 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
47.9%
(-.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)

series9.0ms (0.5%)

Memory
28.3MiB live, 28.3MiB 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

rewrite120.0ms (6.9%)

Memory
-7.7MiB live, 146.7MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0835
01425
14921
218919
3215419
0426519
Stop Event
iter-limit
node-limit
iter-limit
Counts
8 → 723
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 (neg.f64 x) (-.f64 x (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (*.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 (fabs.f64 x) x))
(*.f64 #s(literal -1 binary64) (-.f64 (copysign.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (fabs.f64 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 (fma.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (fabs.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 (fabs.f64 x) x) #s(literal -1 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 x) x) (*.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fabs.f64 x) x) x) x)
(/.f64 (+.f64 (fma.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (fabs.f64 x)))) (neg.f64 x))
(/.f64 (+.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fabs.f64 x) x))) x)
(/.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 x x (*.f64 (*.f64 (fabs.f64 x) x) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (fabs.f64 x)))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 x x (*.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 x) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fabs.f64 x) x)) (neg.f64 x)) x)
(/.f64 (-.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) x) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (fabs.f64 x))) x) (neg.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) x) (neg.f64 x))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (copysign.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (fabs.f64 x) x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (fabs.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (*.f64 (fabs.f64 x) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 x) x)) (*.f64 (neg.f64 x) x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (fabs.f64 x))) (*.f64 x x)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) (*.f64 x x)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 x (fabs.f64 x)))) x)
(/.f64 (neg.f64 (fma.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (neg.f64 x))) x)
(/.f64 (neg.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 (neg.f64 (fma.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 x)) x x)) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) (neg.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))) (*.f64 x x))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 (fabs.f64 x)) x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))) (*.f64 x x))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 x))))) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 x))))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (/.f64 (*.f64 x (-.f64 x (fabs.f64 x))) (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 x (-.f64 (fabs.f64 x) x)) (fabs.f64 x))) (fabs.f64 x))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x) (*.f64 (neg.f64 x) x))) (*.f64 x x))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (fabs.f64 x)) x (*.f64 x x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 x (fabs.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 x (-.f64 x (fabs.f64 x))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (*.f64 x (-.f64 (fabs.f64 x) x)) (fabs.f64 x)) (neg.f64 (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 (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 (neg.f64 (fabs.f64 x)) x) (*.f64 (neg.f64 x) x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) (*.f64 x x)) (*.f64 (neg.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 (-.f64 x (fabs.f64 x)) x)
(/.f64 (-.f64 (fabs.f64 x) x) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (fabs.f64 x))) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (fabs.f64 x))) (*.f64 (fabs.f64 x) (neg.f64 (fabs.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 (fabs.f64 x)) (fabs.f64 x)))
(/.f64 (*.f64 x (-.f64 (fabs.f64 x) x)) (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))))
(/.f64 (*.f64 x (-.f64 (fabs.f64 x) x)) (*.f64 (neg.f64 x) 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 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 (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) (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 (/.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) (/.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 (copysign.f64 #s(literal 1 binary64) (neg.f64 x)) 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 (*.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) (neg.f64 x)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 x)) x) x) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal 2 binary64))))
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(fabs.f64 (/.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (fabs.f64 x)))
(fabs.f64 (/.f64 (*.f64 (neg.f64 x) x) (fabs.f64 x)))
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(fabs.f64 (/.f64 (*.f64 (fabs.f64 x) x) (fabs.f64 x)))
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(fabs.f64 (neg.f64 (fabs.f64 x)))
(fabs.f64 (neg.f64 x))
(fabs.f64 (fabs.f64 x))
(fabs.f64 x)
(+.f64 (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)))
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(*.f64 (neg.f64 x) (neg.f64 x))
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(*.f64 (fabs.f64 x) (fabs.f64 x))
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(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x (*.f64 (copysign.f64 #s(literal 1 binary64) x) (fabs.f64 x)))
(*.f64 x x)
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
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(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
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(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (fabs.f64 x) (*.f64 (neg.f64 x) (fabs.f64 x)))) x)
(/.f64 (neg.f64 (*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (fabs.f64 x))) x)
(/.f64 (neg.f64 (*.f64 (*.f64 (fabs.f64 x) x) (fabs.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (fabs.f64 x) x))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (*.f64 (fabs.f64 x) x) (*.f64 (neg.f64 x) (fabs.f64 x)))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (fabs.f64 x))
(/.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 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.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 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) x)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 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 (*.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 #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 (neg.f64 (*.f64 (neg.f64 x) (fabs.f64 x))))
(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))

eval91.0ms (5.2%)

Memory
-26.9MiB live, 161.1MiB allocated; 27ms collecting garbage
Compiler

Compiled 12 405 to 2 239 computations (82% saved)

prune10.0ms (0.6%)

Memory
31.5MiB live, 31.5MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New7242726
Fresh000
Picked101
Done000
Total7252727
Accuracy
100.0%
Counts
727 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.9%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
54.2%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Compiler

Compiled 28 to 20 computations (28.6% saved)

series4.0ms (0.2%)

Memory
9.5MiB live, 9.5MiB 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

rewrite62.0ms (3.5%)

Memory
-3.9MiB live, 92.9MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01230
01222
14618
221316
3319316
0403916
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%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB 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
48.9%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
54.2%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes8.0ms (0.5%)

Memory
-24.1MiB live, 21.1MiB allocated; 5ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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:

4.0ms
x
1.0ms
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
1.0ms
x
1.0ms
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Results
AccuracySegmentsBranch
54.2%1(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
54.2%1x
87.5%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)

bsearch31.0ms (1.8%)

Memory
-8.3MiB live, 37.4MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
-9.388928586781317e-308
2.5144956688003156e-308
Samples
22.0ms80×0valid
4.0ms32×2valid
Compiler

Compiled 211 to 166 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult!: 20.0ms (85.4% of total)
adjust: 1.0ms (4.3% of total)
ival-div!: 1.0ms (4.3% of total)
ival-sqrt: 1.0ms (4.3% of total)
ival-sub!: 0.0ms (0% of total)

derivations1.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 46 to 15 computations (67.4% saved)

preprocess14.0ms (0.8%)

Memory
34.7MiB live, 34.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 58 to 23 computations (60.3% saved)

end0.0ms (0%)

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

Profiling

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