Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

Time bar (total: 10.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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 11 to 10 computations (9.1% saved)

sample933.0ms (8.7%)

Memory
0.7MiB live, 955.1MiB allocated; 396ms collecting garbage
Samples
518.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-mult!: 144.0ms (87.2% of total)
ival-sub!: 19.0ms (11.5% of total)
adjust: 2.0ms (1.2% of total)
Bogosity

preprocess65.0ms (0.6%)

Memory
-9.0MiB live, 36.4MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03194
111690
235690
374290
4118290
5363090
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Symmetry

(abs x)

(sort y z)

Compiler

Compiled 18 to 16 computations (11.1% saved)

series164.0ms (1.5%)

Memory
12.3MiB live, 106.4MiB allocated; 25ms collecting garbage
Counts
8 → 14
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
#s(approx (- (* x x) (* (* y 4) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* y 4) z) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
#s(approx (* y 4) (*.f64 #s(literal 4 binary64) y))
#s(approx y y)
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z)))))
#s(approx z z)
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y)))))
Calls

9 calls:

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

rewrite213.0ms (2%)

Memory
31.1MiB live, 120.4MiB allocated; 44ms collecting garbage
Counts
8 → 23
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
Outputs
(+.f64 (*.f64 x x) (neg.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (neg.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(fma.f64 x x (*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z))
(neg.f64 (-.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z) (*.f64 x x)))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 z (*.f64 y #s(literal 4 binary64)))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
z

eval12.0ms (0.1%)

Memory
-33.5MiB live, 11.6MiB allocated; 7ms collecting garbage
Compiler

Compiled 395 to 95 computations (75.9% saved)

prune4.0ms (0%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New26329
Fresh000
Picked011
Done000
Total26430
Accuracy
100.0%
Counts
30 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 x x (*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z))
98.4%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
93.0%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))))
53.4%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
Compiler

Compiled 54 to 44 computations (18.5% saved)

series366.0ms (3.4%)

Memory
29.3MiB live, 166.5MiB allocated; 43ms collecting garbage
Counts
19 → 26
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
#s(literal -4 binary64)
(*.f64 y z)
y
z
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
(fma.f64 x x (*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z))
(*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z)
(neg.f64 (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
#s(approx (- (* x x) (* (* y 4) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
#s(approx (* z (- (/ (pow x 2) z) (* 4 y))) (fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (/ (pow x 2) z) (* 4 y)) (*.f64 #s(literal -4 binary64) y))
#s(approx (- (/ (pow x 2) z) (* 4 y)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
#s(approx (/ (pow x 2) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (/ (pow x 2) z) (* 4 y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) z))))
#s(approx (* y z) (*.f64 y z))
#s(approx y y)
#s(approx (- (/ (pow x 2) z) (* 4 y)) (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
#s(approx (* 4 y) (*.f64 #s(literal 4 binary64) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z))))
#s(approx (* z (- (/ (pow x 2) z) (* 4 y))) (*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (- (/ (pow x 2) z) (* 4 y)) (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z)))))
#s(approx (* z (- (/ (pow x 2) z) (* 4 y))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))))
#s(approx (- (/ (pow x 2) z) (* 4 y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))))))
#s(approx z z)
#s(approx (- (/ (pow x 2) z) (* 4 y)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) z))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))))
#s(approx (* z (- (/ (pow x 2) z) (* 4 y))) (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y)))))
#s(approx (* z (- (/ (pow x 2) z) (* 4 y))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))))
Calls

9 calls:

TimeVariablePoint
19.0ms
z
inf
6.0ms
y
inf
4.0ms
z
-inf
3.0ms
x
inf
3.0ms
x
0

rewrite7.6s (71.4%)

Memory
-307.7MiB live, 2 807.8MiB allocated; 6.2s collecting garbage
Counts
19 → 3 618
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
#s(literal -4 binary64)
(*.f64 y z)
y
z
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
(fma.f64 x x (*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z))
(*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z)
(neg.f64 (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
Outputs
#s(approx (+ (* -4 (* z y)) (* x x)) (*.f64 (*.f64 y #s(literal -4 binary64)) z))
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 z #s(literal -4 binary64)) y)
(*.f64 (*.f64 z #s(literal -4 binary64)) (*.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z))
(*.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y))
(*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 y z) #s(literal -4 binary64))
(*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64)))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) z) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z) #s(literal -1 binary64))
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(*.f64 (neg.f64 (*.f64 y z)) (*.f64 (/.f64 #s(literal -4 binary64) z) (neg.f64 z)))
(*.f64 (neg.f64 (*.f64 y z)) #s(literal 4 binary64))
(*.f64 (*.f64 (neg.f64 z) (*.f64 y z)) (/.f64 #s(literal 4 binary64) z))
(*.f64 (*.f64 (neg.f64 z) (*.f64 z #s(literal 4 binary64))) (/.f64 y z))
(*.f64 (*.f64 (neg.f64 z) (*.f64 z #s(literal -4 binary64))) (neg.f64 (/.f64 y z)))
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 z z)) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 z)))
(*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 y z)))
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 z)))
(*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (/.f64 y z) (neg.f64 z)))
(*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 4 binary64) z) (neg.f64 z)))
(*.f64 (*.f64 z z) (/.f64 (*.f64 y #s(literal -4 binary64)) z))
(*.f64 (*.f64 (neg.f64 z) (neg.f64 (*.f64 y z))) (/.f64 #s(literal -4 binary64) z))
(*.f64 (*.f64 (neg.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 z #s(literal -4 binary64)) (*.f64 (neg.f64 (/.f64 y z)) (neg.f64 z)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 y z))))
(+.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 y z))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 y z))))
(+.f64 (*.f64 (neg.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 y z)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 z z)) z)
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 z z)) (neg.f64 z))
(fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 y z)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 y z))))
(fma.f64 (neg.f64 (*.f64 y z)) #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 y z)) #s(literal 2 binary64)))
(neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z))
#s(literal -4 binary64)
(*.f64 #s(literal -2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) #s(literal -2 binary64))
(*.f64 (*.f64 z #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (neg.f64 z) (/.f64 #s(literal 4 binary64) z))
(*.f64 (*.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 z (/.f64 #s(literal -4 binary64) z))
(+.f64 #s(literal 0 binary64) #s(literal -4 binary64))
(+.f64 #s(literal -3 binary64) #s(literal -1 binary64))
(+.f64 #s(literal -2 binary64) #s(literal -2 binary64))
(+.f64 #s(literal -4 binary64) #s(literal 0 binary64))
(+.f64 #s(literal -1 binary64) #s(literal -3 binary64))
(-.f64 #s(literal -2 binary64) #s(literal 2 binary64))
(-.f64 #s(literal -1 binary64) #s(literal 3 binary64))
(-.f64 #s(literal 0 binary64) #s(literal 4 binary64))
(-.f64 #s(literal -3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal -4 binary64) #s(literal 0 binary64))
(/.f64 #s(literal -8 binary64) #s(literal 2 binary64))
(/.f64 #s(literal -4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 z #s(literal -4 binary64)) z)
(/.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 z))
(/.f64 (-.f64 #s(literal -8 binary64) #s(literal 8 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal -16 binary64) (*.f64 #s(literal 2 binary64) #s(literal 8 binary64))) #s(literal 8 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 2 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 3 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal -4 binary64) #s(literal 1/2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal 1/2 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1/2 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal -4 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -4 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal -1 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal -4 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal -2 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 3 binary64) #s(literal 0 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 0 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) #s(literal -4 binary64))
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(fma.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) z) #s(literal 0 binary64)))
(fma.f64 y #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) z) #s(literal 0 binary64)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) z) #s(literal 0 binary64)))
(neg.f64 (*.f64 y #s(literal -4 binary64)))

eval730.0ms (6.8%)

Memory
59.2MiB live, 1 135.5MiB allocated; 356ms collecting garbage
Compiler

Compiled 90 441 to 14 212 computations (84.3% saved)

prune65.0ms (0.6%)

Memory
-6.6MiB live, 225.2MiB allocated; 22ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3 61533 618
Fresh000
Picked303
Done101
Total3 61933 622
Accuracy
100.0%
Counts
3 622 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) z))
99.6%
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x)))
53.4%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
Compiler

Compiled 41 to 32 computations (22% saved)

series164.0ms (1.5%)

Memory
-6.7MiB live, 135.3MiB allocated; 87ms collecting garbage
Counts
13 → 18
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(*.f64 (*.f64 z #s(literal -4 binary64)) y)
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
y
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
(*.f64 x x)
x
(fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) z))
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 y #s(literal -4 binary64))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
#s(approx (- (* x x) (* (* y 4) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
#s(approx (+ (* (* z -4) y) (* x x)) (fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx y y)
#s(approx (* y -4) (*.f64 #s(literal -4 binary64) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z))))
#s(approx (+ (* (* z -4) y) (* x x)) (*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z)))))
#s(approx (+ (* (* z -4) y) (* x x)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))))
#s(approx (* z -4) (*.f64 #s(literal -4 binary64) z))
#s(approx z z)
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))))
#s(approx (+ (* (* z -4) y) (* x x)) (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y)))))
#s(approx (+ (* (* z -4) y) (* x x)) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))))
Calls

9 calls:

TimeVariablePoint
1.0ms
y
inf
1.0ms
z
-inf
1.0ms
y
-inf
1.0ms
z
inf
1.0ms
y
0

rewrite208.0ms (1.9%)

Memory
39.5MiB live, 229.0MiB allocated; 25ms collecting garbage
Counts
13 → 48
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(*.f64 (*.f64 z #s(literal -4 binary64)) y)
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
y
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
(*.f64 x x)
x
(fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) z))
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 y #s(literal -4 binary64))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(*.f64 (*.f64 z #s(literal -4 binary64)) y)
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) z)
z
#s(literal -4 binary64)
y
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x)))
(+.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(-.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) y) (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (neg.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) y)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) z))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 x x))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
x
(+.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(-.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) y) (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (neg.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) y)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) z))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 x x))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(*.f64 (*.f64 z #s(literal -4 binary64)) y)
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 y #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) y)

eval9.0ms (0.1%)

Memory
-24.4MiB live, 21.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 884 to 160 computations (81.9% saved)

prune6.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New45045
Fresh000
Picked033
Done000
Total45348
Accuracy
100.0%
Counts
48 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) z))
99.6%
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x)))
53.4%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
Compiler

Compiled 41 to 32 computations (22% saved)

regimes88.0ms (0.8%)

Memory
-16.3MiB live, 127.8MiB allocated; 76ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
7 → 1
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
Call 2
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x)))
(fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x)))
Calls

14 calls:

48.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
7.0ms
z
6.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
53.4%1(*.f64 y #s(literal 4 binary64))
53.4%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
53.4%1(*.f64 x x)
53.4%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
53.4%1x
53.4%1y
53.4%1z
99.6%1(*.f64 y #s(literal 4 binary64))
99.6%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
99.6%1(*.f64 x x)
99.6%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
99.6%1x
99.6%1y
99.6%1z
Compiler

Compiled 141 to 99 computations (29.8% saved)

derivations0.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 33 to 16 computations (51.5% saved)

preprocess22.0ms (0.2%)

Memory
15.7MiB live, 65.0MiB allocated; 6ms collecting garbage
Remove

(sort y z)

(abs x)

Compiler

Compiled 174 to 124 computations (28.7% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...