Examples.Basics.BasicTests:f3 from sbv-4.4

Time bar (total: 5.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample746.0ms (14.8%)

Memory
34.7MiB live, 944.2MiB allocated; 369ms collecting garbage
Samples
550.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 208.0ms
ival-mult!: 149.0ms (71.8% of total)
ival-add!: 57.0ms (27.5% of total)
adjust: 1.0ms (0.5% of total)
Bogosity

preprocess163.0ms (3.3%)

Memory
-38.1MiB live, 62.1MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01436
17532
229832
397532
4210632
5738532
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 x y))
Symmetry

(sort x y)

Compiler

Compiled 14 to 8 computations (42.9% saved)

series164.0ms (3.3%)

Memory
4.8MiB live, 50.5MiB allocated; 28ms collecting garbage
Counts
4 → 19
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(+.f64 x y)
x
y
Outputs
#s(approx (* (+ x y) (+ x y)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (*.f64 x y) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* (+ x y) (+ x y)) (fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 x y))
#s(approx x x)
#s(approx (* (+ x y) (+ x y)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))))
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (*.f64 x y) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ x y) (+ x y)) (fma.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)))))
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
1.0ms
x
inf
1.0ms
x
-inf
1.0ms
y
-inf
0.0ms
y
0
0.0ms
y
inf

rewrite216.0ms (4.3%)

Memory
38.8MiB live, 223.2MiB allocated; 36ms collecting garbage
Counts
4 → 13
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(+.f64 x y)
x
y
Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (neg.f64 (+.f64 x y)) (neg.f64 (+.f64 x y)))
(*.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (+.f64 x y)))
(+.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y)))
(+.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) y))
(fma.f64 x (+.f64 x y) (*.f64 y (+.f64 x y)))
(fma.f64 (+.f64 x y) x (*.f64 (+.f64 x y) y))
(pow.f64 (+.f64 x y) #s(literal 2 binary64))
(+.f64 x y)
(+.f64 y x)
(-.f64 x (neg.f64 y))
x
y

eval3.0ms (0.1%)

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

Compiled 462 to 107 computations (76.8% saved)

prune4.0ms (0.1%)

Memory
-38.3MiB live, 7.6MiB allocated; 4ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New24428
Fresh000
Picked011
Done000
Total24529
Accuracy
100.0%
Counts
29 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.7%
(fma.f64 (+.f64 x y) x (*.f64 (+.f64 x y) y))
93.7%
(+.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) y))
100.0%
(*.f64 (+.f64 x y) (+.f64 x y))
54.6%
(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
100.0%
#s(approx (* (+ x y) (+ x y)) (fma.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
Compiler

Compiled 57 to 30 computations (47.4% saved)

series192.0ms (3.8%)

Memory
3.7MiB live, 98.3MiB allocated; 73ms collecting garbage
Counts
15 → 36
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ x y)) (fma.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
y
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
#s(approx (+ x y) y)
(+.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) x)
(+.f64 x y)
(*.f64 (+.f64 x y) y)
(fma.f64 (+.f64 x y) x (*.f64 (+.f64 x y) y))
Outputs
#s(approx (* (+ x y) (+ x y)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (*.f64 x y) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* (+ x y) (+ x y)) (fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ y (* 2 x)) y)
#s(approx (+ y (* 2 x)) (+.f64 y (*.f64 #s(literal 2 binary64) x)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ x y) (+.f64 x y))
#s(approx (* (+ x y) x) (*.f64 x y))
#s(approx (* (+ x y) x) (*.f64 x (+.f64 x y)))
#s(approx (* (+ x y) y) (fma.f64 x y (pow.f64 y #s(literal 2 binary64))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ y (* 2 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x))))
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (* (+ x y) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (* (+ x y) y) (*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))))
#s(approx (+ y (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64)))))
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (* (+ x y) y) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))))
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (*.f64 x y) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ x y) (+ x y)) (fma.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ x y) x) (fma.f64 x y (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ x y) y) (*.f64 y (+.f64 x y)))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ y (* 2 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (* (+ x y) x) (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (* (+ x y) y) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)))))
#s(approx (+ y (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
#s(approx (* (+ x y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
Calls

6 calls:

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

rewrite1.5s (30.8%)

Memory
11.3MiB live, 1 488.2MiB allocated; 307ms collecting garbage
Counts
15 → 2 120
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ x y)) (fma.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
y
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
#s(approx (+ x y) y)
(+.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) x)
(+.f64 x y)
(*.f64 (+.f64 x y) y)
(fma.f64 (+.f64 x y) x (*.f64 (+.f64 x y) y))
Outputs
#s(approx (pow (+ x y) 2) (*.f64 (+.f64 x y) (+.f64 x y)))
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (+.f64 x y)))
(*.f64 (-.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(*.f64 (neg.f64 (fabs.f64 (+.f64 x y))) (neg.f64 (fabs.f64 (+.f64 x y))))
(fabs.f64 (*.f64 (+.f64 x y) (+.f64 x y)))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 x y)) (+.f64 x y)))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 x y)) (-.f64 (neg.f64 x) y)))
(fabs.f64 (*.f64 (-.f64 (neg.f64 x) y) (+.f64 x y)))
(+.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) y))
(+.f64 (*.f64 (+.f64 x x) y) (fma.f64 x x (*.f64 y y)))
(+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(literal 0 binary64))
(+.f64 (*.f64 (+.f64 x y) y) (*.f64 (+.f64 x y) x))
(+.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) (*.f64 x x))
(+.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (*.f64 y y))
(+.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x x) y))
(+.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 y x))
(+.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))
(+.f64 (*.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(+.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(+.f64 (*.f64 y x) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(+.f64 (*.f64 (+.f64 x x) y) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y y))))
(+.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(+.f64 (*.f64 (+.f64 x x) y) (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (*.f64 y y)))))
(-.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 (+.f64 x y) x) (*.f64 (-.f64 (neg.f64 x) y) y))
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x #s(literal -2 binary64)) y))
(-.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (neg.f64 (*.f64 y y)))
(-.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (neg.f64 (*.f64 y x)))
(-.f64 (*.f64 (+.f64 x y) y) (*.f64 (-.f64 (neg.f64 x) y) x))
(-.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 y #s(literal -2 binary64)) x) x))
(-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) y) y))
(-.f64 (*.f64 y x) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(-.f64 (*.f64 (+.f64 x x) y) (neg.f64 (fma.f64 x x (*.f64 y y))))
(/.f64 (fma.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal 2 binary64) (*.f64 (+.f64 x x) y)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64) (*.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) y)) #s(literal 2 binary64))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) (*.f64 x x))
(fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) y) y (*.f64 x x))
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (*.f64 y y))
(fma.f64 (+.f64 x y) x (*.f64 (+.f64 x y) y))
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) y) #s(literal -1 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 (+.f64 x x) y) #s(literal 1/2 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(fma.f64 (*.f64 (+.f64 x x) y) #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 (neg.f64 (*.f64 y x)) #s(literal -1 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(fma.f64 (neg.f64 (*.f64 y x)) #s(literal -2 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))
(fma.f64 (*.f64 (-.f64 (neg.f64 x) y) x) #s(literal -1 binary64) (*.f64 (+.f64 x y) y))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))
(fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))
(fma.f64 (*.f64 (+.f64 x y) x) #s(literal 1 binary64) (*.f64 (+.f64 x y) y))
(fma.f64 (*.f64 (+.f64 x y) y) #s(literal 1 binary64) (*.f64 (+.f64 x y) x))
(fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 1 binary64)) y (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 1 binary64) (*.f64 y y))
(fma.f64 (-.f64 (*.f64 y #s(literal -2 binary64)) x) (neg.f64 x) (*.f64 y y))
(fma.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (+.f64 x y)) #s(literal 0 binary64))
(fma.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) y) (neg.f64 y) (*.f64 x x))
(fma.f64 (-.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y) #s(literal 0 binary64))
(fma.f64 (-.f64 (neg.f64 x) y) (neg.f64 y) (*.f64 (+.f64 x y) x))
(fma.f64 (-.f64 (neg.f64 x) y) (neg.f64 x) (*.f64 (+.f64 x y) y))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -2 binary64)) (+.f64 y y) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -2 binary64)) (+.f64 x x) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(fma.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(fma.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal -2 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y)))
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(fma.f64 (*.f64 y #s(literal -2 binary64)) (neg.f64 x) (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (*.f64 y y)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) y) (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (*.f64 y y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (*.f64 y y)))))
(fma.f64 #s(literal -2 binary64) (neg.f64 (*.f64 y x)) (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (*.f64 y y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) y) (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (*.f64 y y)))))
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) y) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (*.f64 y y)))))
(fma.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (*.f64 y y)))))
(fma.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (*.f64 y y)))))
(fma.f64 (neg.f64 (*.f64 y x)) #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (*.f64 y y)))))
(fma.f64 (*.f64 (+.f64 x x) y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (*.f64 y y)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 x) y) (+.f64 x y)))
(pow.f64 (+.f64 x y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (-.f64 (neg.f64 x) y) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (fabs.f64 (+.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))

eval1.3s (26.3%)

Memory
28.6MiB live, 1 038.7MiB allocated; 325ms collecting garbage
Compiler

Compiled 54 397 to 7 443 computations (86.3% saved)

prune112.0ms (2.2%)

Memory
-31.2MiB live, 110.4MiB allocated; 23ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2 51312 514
Fresh000
Picked314
Done011
Total2 51632 519
Accuracy
100.0%
Counts
2 519 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 x y))
54.6%
(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
99.6%
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series195.0ms (3.9%)

Memory
37.7MiB live, 87.2MiB allocated; 12ms collecting garbage
Counts
7 → 20
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 y #s(literal 2 binary64) x)
y
#s(literal 2 binary64)
x
(*.f64 y y)
Outputs
#s(approx (* (+ x y) (+ x y)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (*.f64 x y) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* (+ x y) (+ x y)) (fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (* y 2) x) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (* y 2) x) (+.f64 x (*.f64 #s(literal 2 binary64) y)))
#s(approx x x)
#s(approx (* (+ x y) (+ x y)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* y 2) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))))
#s(approx (+ (* y 2) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (*.f64 x y) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ x y) (+ x y)) (fma.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx y y)
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* y 2) x) (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)))))
#s(approx (+ (* y 2) x) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64)))))
Calls

6 calls:

TimeVariablePoint
2.0ms
x
0
1.0ms
y
-inf
1.0ms
y
inf
1.0ms
x
-inf
0.0ms
x
inf

rewrite297.0ms (5.9%)

Memory
-1.7MiB live, 278.5MiB allocated; 41ms collecting garbage
Counts
7 → 23
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 y #s(literal 2 binary64) x)
y
#s(literal 2 binary64)
x
(*.f64 y y)
Outputs
#s(approx (pow (+ x y) 2) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
(+.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(-.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (neg.f64 (*.f64 y y)))
(-.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (*.f64 (neg.f64 y) y))
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (*.f64 y y))
(fma.f64 y y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(+.f64 (*.f64 y #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y #s(literal 2 binary64)))
(-.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) y x)
y
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
x
(*.f64 y y)
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(pow.f64 y #s(literal 2 binary64))

eval10.0ms (0.2%)

Memory
-28.2MiB live, 18.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 747 to 154 computations (79.4% saved)

prune3.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New37037
Fresh000
Picked011
Done022
Total37340
Accuracy
100.0%
Counts
40 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 x y))
54.6%
(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
99.6%
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
Compiler

Compiled 35 to 18 computations (48.6% saved)

regimes28.0ms (0.6%)

Memory
34.8MiB live, 87.3MiB allocated; 6ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
Outputs
(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
Call 2
Inputs
(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
(*.f64 (+.f64 x y) (+.f64 x y))
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
(fma.f64 (+.f64 x y) x (*.f64 (+.f64 x y) y))
(+.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) y))
#s(approx (* (+ x y) (+ x y)) (fma.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
Calls

8 calls:

7.0ms
(+.f64 x y)
4.0ms
y
4.0ms
x
4.0ms
(*.f64 (+.f64 x y) (+.f64 x y))
2.0ms
y
Results
AccuracySegmentsBranch
54.6%1(+.f64 x y)
54.6%1(*.f64 (+.f64 x y) (+.f64 x y))
54.6%1x
54.6%1y
100.0%1(+.f64 x y)
100.0%1(*.f64 (+.f64 x y) (+.f64 x y))
100.0%1x
100.0%1y
Compiler

Compiled 98 to 44 computations (55.1% saved)

derivations1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 18 to 7 computations (61.1% saved)

preprocess24.0ms (0.5%)

Memory
-17.6MiB live, 76.4MiB allocated; 4ms collecting garbage
Remove

(sort x y)

Compiler

Compiled 61 to 29 computations (52.5% saved)

end0.0ms (0%)

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

Profiling

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