Octave 3.8, jcobi/4, as called

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze5.0ms (0.1%)

Memory
-41.7MiB live, 5.4MiB allocated; 2ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
87.5%43.7%6.2%50%0%0%0%5
93.8%46.9%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 29 to 13 computations (55.2% saved)

sample930.0ms (26.3%)

Memory
26.5MiB live, 1 278.9MiB allocated; 495ms collecting garbage
Samples
618.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 363.0ms
ival-mult!: 263.0ms (72.4% of total)
ival-div!: 78.0ms (21.5% of total)
ival-sub!: 20.0ms (5.5% of total)
adjust: 1.0ms (0.3% of total)
Bogosity

preprocess75.0ms (2.1%)

Memory
-28.5MiB live, 65.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01958
113251
2101839
3665939
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.8%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Symmetry

(abs i)

Compiler

Compiled 50 to 20 computations (60% saved)

series81.0ms (2.3%)

Memory
-2.5MiB live, 142.1MiB allocated; 17ms collecting garbage
Counts
10 → 17
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1/4 binary64))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64))))
#s(approx (* (* i i) (* i i)) (pow.f64 i #s(literal 4 binary64)))
#s(approx (* i i) (pow.f64 i #s(literal 2 binary64)))
#s(approx i i)
#s(approx (* (* 2 i) (* 2 i)) (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64))))
#s(approx (* 2 i) (*.f64 #s(literal 2 binary64) i))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64))))))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
Calls

3 calls:

TimeVariablePoint
2.0ms
i
inf
2.0ms
i
-inf
2.0ms
i
0

rewrite1.3s (35.4%)

Memory
84.5MiB live, 1 572.1MiB allocated; 489ms collecting garbage
Counts
10 → 1 859
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 (neg.f64 i) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal -1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 i) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal -1/4 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 i) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 i #s(literal -1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) (/.f64 i (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 i #s(literal -1/2 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 i #s(literal -1/2 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal -1/2 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 i #s(literal -1/2 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 i #s(literal -1/2 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 i #s(literal -1/2 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 i #s(literal -1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 i) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 i #s(literal -1/4 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 i) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 i #s(literal -1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 (neg.f64 i) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 i i) i) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) i) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 i i) i) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) i) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 i i) i) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) i) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 i i) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 i i) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 i i) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 i (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 i) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal -1/4 binary64)) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (fabs.f64 i) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (fabs.f64 i) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 i i)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 i i)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 i i)) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 i i)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i #s(literal -4 binary64)) i #s(literal 1 binary64))) (*.f64 (*.f64 i #s(literal 1/4 binary64)) i))
(*.f64 (/.f64 (neg.f64 (*.f64 i i)) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 i) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))) (*.f64 i #s(literal -1/4 binary64)))
(*.f64 (/.f64 i (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
(*.f64 (/.f64 (*.f64 i #s(literal -1/4 binary64)) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 i) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 i #s(literal -1/2 binary64)) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal -1/2 binary64)) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (fabs.f64 (*.f64 i #s(literal 1/2 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (fabs.f64 (*.f64 i #s(literal 1/2 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (fabs.f64 (*.f64 i #s(literal 1/2 binary64))) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) (/.f64 (fabs.f64 (*.f64 i #s(literal 1/2 binary64))) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (fabs.f64 (*.f64 i #s(literal 1/2 binary64))) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (fabs.f64 (*.f64 i #s(literal 1/2 binary64))) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (fabs.f64 (*.f64 i #s(literal 1/2 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 (fabs.f64 (*.f64 i #s(literal 1/2 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 i (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 i i) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (fabs.f64 i) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))) (*.f64 (fabs.f64 i) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (fabs.f64 i) i) #s(literal 1/2 binary64)) (/.f64 (/.f64 i (fabs.f64 (+.f64 i i))) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64)) i)) (*.f64 (*.f64 i i) i))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))) (*.f64 (*.f64 i #s(literal -1/4 binary64)) i))
(*.f64 (/.f64 (*.f64 (*.f64 i #s(literal -1/2 binary64)) i) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 i #s(literal -1/2 binary64)) i) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 i #s(literal -1/2 binary64)) i) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
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(*.f64 (/.f64 i (neg.f64 (fabs.f64 i))) (/.f64 i (neg.f64 (fabs.f64 i))))
(*.f64 (/.f64 (neg.f64 (fabs.f64 i)) (fabs.f64 i)) (/.f64 (neg.f64 (fabs.f64 i)) (fabs.f64 i)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 i)) i) (/.f64 (neg.f64 (fabs.f64 i)) i))
(*.f64 (/.f64 (neg.f64 i) (neg.f64 (fabs.f64 i))) (/.f64 (neg.f64 i) (neg.f64 (fabs.f64 i))))
(*.f64 (/.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i))) (/.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i))))
(*.f64 (neg.f64 (fabs.f64 i)) (/.f64 (neg.f64 (fabs.f64 i)) (*.f64 i i)))
(fabs.f64 #s(literal -1 binary64))
(fabs.f64 #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 3 binary64) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 i i)
(/.f64 (neg.f64 i) (neg.f64 i))
(/.f64 (*.f64 i i) (*.f64 i i))
(/.f64 (neg.f64 (*.f64 i i)) (neg.f64 (*.f64 i i)))
(/.f64 (/.f64 (*.f64 i i) (fabs.f64 i)) (fabs.f64 i))
(/.f64 (/.f64 (*.f64 i i) (neg.f64 (fabs.f64 i))) (neg.f64 (fabs.f64 i)))
(copysign.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(copysign.f64 #s(literal 1 binary64) (*.f64 i i))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal -1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) i) #s(literal 0 binary64))
(fma.f64 (neg.f64 i) (/.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 i #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 i #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (copysign.f64 #s(literal 1 binary64) i) (copysign.f64 #s(literal 1 binary64) i) #s(literal 0 binary64))
(fma.f64 i (/.f64 #s(literal 1 binary64) i) #s(literal 0 binary64))
(fma.f64 i (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (copysign.f64 #s(literal 1 binary64) i) #s(literal 2 binary64)) (copysign.f64 #s(literal 1 binary64) i) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) i)) (fabs.f64 (*.f64 i #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (neg.f64 i) (fabs.f64 i)) (/.f64 (neg.f64 i) (fabs.f64 i)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 i) (fabs.f64 i)) (/.f64 (fabs.f64 i) (fabs.f64 i)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 i) (neg.f64 i)) (/.f64 (fabs.f64 i) (neg.f64 i)) #s(literal 0 binary64))
(fma.f64 (/.f64 i (fabs.f64 i)) (/.f64 i (fabs.f64 i)) #s(literal 0 binary64))
(fma.f64 (*.f64 i i) (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 i) (fabs.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 i) (/.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 i) (/.f64 #s(literal 1/2 binary64) (fabs.f64 i)) #s(literal 1/2 binary64))
(fma.f64 (copysign.f64 #s(literal 1 binary64) i) (/.f64 (copysign.f64 #s(literal 1 binary64) i) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fabs.f64 i) (neg.f64 (fabs.f64 i))) (/.f64 (fabs.f64 i) (neg.f64 (fabs.f64 i))) #s(literal 0 binary64))
(fma.f64 (/.f64 i (neg.f64 (fabs.f64 i))) (/.f64 i (neg.f64 (fabs.f64 i))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 i)) (fabs.f64 i)) (/.f64 (neg.f64 (fabs.f64 i)) (fabs.f64 i)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 i)) i) (/.f64 (neg.f64 (fabs.f64 i)) i) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 i) (neg.f64 (fabs.f64 i))) (/.f64 (neg.f64 i) (neg.f64 (fabs.f64 i))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i))) (/.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 i)) i) (/.f64 (copysign.f64 #s(literal 1 binary64) i) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 i)) (*.f64 i i)) (/.f64 (neg.f64 (fabs.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (fabs.f64 i)) (/.f64 (neg.f64 (fabs.f64 i)) (*.f64 i i)) #s(literal 0 binary64))
(fma.f64 (/.f64 (copysign.f64 #s(literal 1 binary64) i) #s(literal -2 binary64)) (/.f64 (neg.f64 (fabs.f64 i)) i) #s(literal 1/2 binary64))
(fma.f64 (*.f64 i i) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 i i) i)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (fabs.f64 i)) (/.f64 (neg.f64 (fabs.f64 i)) (*.f64 (+.f64 i i) i)) #s(literal 1/2 binary64))
(hypot.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(hypot.f64 #s(literal -1 binary64) #s(literal 0 binary64))
(hypot.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(hypot.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(hypot.f64 (copysign.f64 #s(literal 1 binary64) i) #s(literal 0 binary64))
(hypot.f64 #s(literal 0 binary64) (copysign.f64 #s(literal 1 binary64) i))
(hypot.f64 (/.f64 (fabs.f64 i) (neg.f64 i)) #s(literal 0 binary64))
(hypot.f64 (/.f64 i (fabs.f64 i)) #s(literal 0 binary64))
(hypot.f64 (/.f64 (fabs.f64 i) (fabs.f64 i)) #s(literal 0 binary64))
(hypot.f64 (/.f64 (neg.f64 i) (fabs.f64 i)) #s(literal 0 binary64))
(hypot.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 i) (neg.f64 i)))
(hypot.f64 #s(literal 0 binary64) (/.f64 i (fabs.f64 i)))
(hypot.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 i) (fabs.f64 i)))
(hypot.f64 #s(literal 0 binary64) (/.f64 (neg.f64 i) (fabs.f64 i)))
(hypot.f64 (/.f64 (fabs.f64 i) (neg.f64 (fabs.f64 i))) #s(literal 0 binary64))
(hypot.f64 (/.f64 i (neg.f64 (fabs.f64 i))) #s(literal 0 binary64))
(hypot.f64 (/.f64 (neg.f64 (fabs.f64 i)) (fabs.f64 i)) #s(literal 0 binary64))
(hypot.f64 (/.f64 (neg.f64 (fabs.f64 i)) i) #s(literal 0 binary64))
(hypot.f64 (/.f64 (neg.f64 i) (neg.f64 (fabs.f64 i))) #s(literal 0 binary64))
(hypot.f64 (/.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i))) #s(literal 0 binary64))
(hypot.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 i) (neg.f64 (fabs.f64 i))))
(hypot.f64 #s(literal 0 binary64) (/.f64 i (neg.f64 (fabs.f64 i))))
(hypot.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fabs.f64 i)) (fabs.f64 i)))
(hypot.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fabs.f64 i)) i))
(hypot.f64 #s(literal 0 binary64) (/.f64 (neg.f64 i) (neg.f64 (fabs.f64 i))))
(hypot.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i))))
(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 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 i #s(literal 0 binary64))
(pow.f64 (fabs.f64 i) #s(literal 0 binary64))
(pow.f64 (neg.f64 i) #s(literal 0 binary64))
(sqrt.f64 #s(literal 1 binary64))
(sqrt.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 i i) (*.f64 i i))))

eval432.0ms (12.2%)

Memory
-8.6MiB live, 410.8MiB allocated; 163ms collecting garbage
Compiler

Compiled 58 845 to 5 519 computations (90.6% saved)

prune39.0ms (1.1%)

Memory
20.6MiB live, 67.0MiB allocated; 5ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1 86821 870
Fresh000
Picked101
Done000
Total1 86921 871
Accuracy
100.0%
Counts
1 871 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.7%
(*.f64 (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))) i)
44.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 39 to 21 computations (46.2% saved)

series87.0ms (2.5%)

Memory
0.4MiB live, 52.6MiB allocated; 25ms collecting garbage
Counts
11 → 25
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
(*.f64 (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))) i)
(/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64)))
(*.f64 i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))
(*.f64 i #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1/4 binary64))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1/4 binary64) i))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 i (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1/4 binary64))))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 i (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 i (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
#s(approx (* i 1/4) (*.f64 #s(literal 1/4 binary64) i))
#s(approx i i)
#s(approx (+ (* (* i 4) i) -1) #s(literal -1 binary64))
#s(approx (+ (* (* i 4) i) -1) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (* i 4) (*.f64 #s(literal 4 binary64) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64))))))))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (/.f64 #s(literal 1/16 binary64) i))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) i))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (/.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))) i))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (/.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64))))))) i))
#s(approx (+ (* (* i 4) i) -1) (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64))))
#s(approx (+ (* (* i 4) i) -1) (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) (pow.f64 i #s(literal 2 binary64)))) #s(literal 1/16 binary64)) i)))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/256 binary64) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) (pow.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))) i)))
Calls

3 calls:

TimeVariablePoint
1.0ms
i
-inf
1.0ms
i
inf
1.0ms
i
0

rewrite168.0ms (4.7%)

Memory
-0.0MiB live, 187.9MiB allocated; 34ms collecting garbage
Counts
11 → 24
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
(*.f64 (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))) i)
(/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64)))
(*.f64 i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))
(*.f64 i #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
Outputs
#s(approx (/ (/ (pow (* i i) 2) (* 4 (* i i))) (+ (* 4 (* i i)) -1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
(*.f64 (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))) i)
(*.f64 i (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64)))
(*.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))))
(/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 i #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))))
(*.f64 i #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) i)
i
#s(literal 1/4 binary64)
(+.f64 (*.f64 (*.f64 i #s(literal 4 binary64)) i) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i #s(literal 4 binary64)) i))
(-.f64 (*.f64 (*.f64 i #s(literal 4 binary64)) i) #s(literal 1 binary64))
(fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 i #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal -1 binary64)
(neg.f64 #s(literal 1 binary64))

eval4.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 896 to 191 computations (78.7% saved)

prune4.0ms (0.1%)

Memory
-39.1MiB live, 6.7MiB allocated; 5ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New37138
Fresh000
Picked022
Done000
Total37340
Accuracy
100.0%
Counts
40 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.7%
(*.f64 (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))) i)
56.7%
(*.f64 #s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1/4 binary64) i)) i)
44.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 56 to 34 computations (39.3% saved)

series106.0ms (3%)

Memory
42.8MiB live, 133.8MiB allocated; 15ms collecting garbage
Counts
5 → 19
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1/4 binary64) i)) i)
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1/4 binary64) i))
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
Outputs
#s(approx (* (/ (* i 1/4) (+ (* (* i 4) i) -1)) i) (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64))))
#s(approx (* (/ (* i 1/4) (+ (* (* i 4) i) -1)) i) (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1/4 binary64))))
#s(approx (* (/ (* i 1/4) (+ (* (* i 4) i) -1)) i) (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
#s(approx (* (/ (* i 1/4) (+ (* (* i 4) i) -1)) i) (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1/4 binary64) i))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 i (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1/4 binary64))))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 i (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 i (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
#s(approx i i)
#s(approx (* (/ (* i 1/4) (+ (* (* i 4) i) -1)) i) #s(literal 1/16 binary64))
#s(approx (* (/ (* i 1/4) (+ (* (* i 4) i) -1)) i) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
#s(approx (* (/ (* i 1/4) (+ (* (* i 4) i) -1)) i) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))))
#s(approx (* (/ (* i 1/4) (+ (* (* i 4) i) -1)) i) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64))))))))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (/.f64 #s(literal 1/16 binary64) i))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) i))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (/.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))) i))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (/.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64))))))) i))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) (pow.f64 i #s(literal 2 binary64)))) #s(literal 1/16 binary64)) i)))
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/256 binary64) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) (pow.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))) i)))
Calls

3 calls:

TimeVariablePoint
1.0ms
i
inf
1.0ms
i
-inf
1.0ms
i
0

rewrite143.0ms (4.1%)

Memory
-9.1MiB live, 171.6MiB allocated; 51ms collecting garbage
Counts
5 → 6
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1/4 binary64) i)) i)
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1/4 binary64) i))
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
Outputs
(*.f64 #s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1/4 binary64) i)) i)
#s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1/4 binary64) i))
(*.f64 #s(literal -1/4 binary64) i)
(*.f64 i #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
i

eval3.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 529 to 107 computations (79.8% saved)

prune3.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New19019
Fresh000
Picked011
Done022
Total19322
Accuracy
100.0%
Counts
22 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.7%
(*.f64 (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))) i)
56.7%
(*.f64 #s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1/4 binary64) i)) i)
44.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 56 to 34 computations (39.3% saved)

regimes130.0ms (3.7%)

Memory
-51.7MiB live, 24.8MiB allocated; 161ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
2 → 2
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Call 2
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
(*.f64 #s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1/4 binary64) i)) i)
Outputs
(*.f64 #s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1/4 binary64) i)) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Call 3
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
(*.f64 #s(approx (/ (* i 1/4) (+ (* (* i 4) i) -1)) (*.f64 #s(literal -1/4 binary64) i)) i)
(*.f64 (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))) i)
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

5 calls:

117.0ms
i
4.0ms
i
3.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
1.0ms
i
1.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
44.5%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
44.5%1i
99.3%2i
78.7%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
100.0%2i
Compiler

Compiled 134 to 64 computations (52.2% saved)

bsearch35.0ms (1%)

Memory
-12.4MiB live, 38.4MiB allocated; 13ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
20.0ms
5212.237296673035
1073319709.6357769
Samples
11.0ms112×0valid
Compiler

Compiled 301 to 175 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 4.0ms (62.6% of total)
ival-div!: 2.0ms (31.3% of total)
ival-sub!: 1.0ms (15.7% of total)
adjust: 0.0ms (0% of total)

bsearch12.0ms (0.3%)

Memory
25.3MiB live, 25.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
0.08971424833229427
15.092610688783736
Samples
5.0ms112×0valid
Compiler

Compiled 336 to 203 computations (39.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult!: 2.0ms (64% of total)
ival-div!: 1.0ms (32% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

derivations1.0ms (0%)

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

Compiled 118 to 38 computations (67.8% saved)

preprocess25.0ms (0.7%)

Memory
-8.9MiB live, 82.0MiB allocated; 7ms collecting garbage
Remove

(abs i)

Compiler

Compiled 379 to 172 computations (54.6% saved)

end0.0ms (0%)

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

Profiling

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