Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

Time bar (total: 1.5s)

start0.0ms (0%)

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

analyze11.0ms (0.7%)

Memory
-43.4MiB live, 0.7MiB allocated; 11ms 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)

sample836.0ms (57.4%)

Memory
25.7MiB live, 747.9MiB allocated; 296ms collecting garbage
Samples
591.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-mult!: 144.0ms (88.5% of total)
ival-sub!: 17.0ms (10.5% of total)
adjust: 1.0ms (0.6% of total)
Bogosity

preprocess12.0ms (0.8%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03197
18893
222793
349890
463290
Stop Event
saturated
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 16 to 16 computations (0% saved)

series27.0ms (1.9%)

Memory
-28.6MiB live, 17.6MiB allocated; 5ms collecting garbage
Counts
8 → 15
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)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (* (* y 4) z) #s(hole binary64 (* 4 (* y z))))
#s(approx (* y 4) #s(hole binary64 (* 4 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx z #s(hole binary64 z))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
Calls

9 calls:

TimeVariablePointExpression
20.0ms
y
@0
((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)
2.0ms
y
@-inf
((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms
y
@inf
((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms
x
@inf
((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms
z
@inf
((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)

rewrite79.0ms (5.4%)

Memory
4.0MiB live, 106.1MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059241
063237
1241237
01829220
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
23 → 174
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
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (* (* y 4) z) #s(hole binary64 (* 4 (* y z))))
#s(approx (* y 4) #s(hole binary64 (* 4 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx z #s(hole binary64 z))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
Outputs
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64)))) (neg.f64 (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (neg.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64)) (*.f64 (*.f64 z #s(literal 4 binary64)) y)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) y) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64))) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64)) (*.f64 (*.f64 z #s(literal 4 binary64)) y))) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) y) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) x) x))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x)))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (*.f64 x x))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (*.f64 x x))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 x x (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 x x (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 x x (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64)) (-.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) y) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64)) (*.f64 (*.f64 z #s(literal 4 binary64)) y)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) y) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal -4 binary64)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
(-.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64))) (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(+.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 (*.f64 z y) #s(literal 4 binary64))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 z y))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(neg.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(neg.f64 (*.f64 #s(literal -4 binary64) y))
y
#s(literal 4 binary64)
z
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 z (*.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x)))
#s(approx (* (* y 4) z) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
#s(approx (* y 4) (*.f64 #s(literal 4 binary64) y))
#s(approx y y)
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (neg.f64 (fma.f64 z #s(literal 4 binary64) (/.f64 (*.f64 (neg.f64 x) x) y))) y))
#s(approx z z)
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 (neg.f64 x) x) z))) z))

eval63.0ms (4.4%)

Memory
-19.7MiB live, 25.7MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 154 to 324 computations (71.9% saved)

prune3.0ms (0.2%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1643167
Fresh000
Picked101
Done000
Total1653168
Accuracy
100.0%
Counts
168 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
51.7%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
55.8%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 29 to 29 computations (0% saved)

series8.0ms (0.5%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Counts
11 → 24
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(*.f64 #s(literal -4 binary64) z)
Outputs
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* -4 (* y z))))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (* (* z y) -4) #s(hole binary64 (* -4 (* y z))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* y (+ (* -4 z) (/ (pow x 2) y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))))
#s(approx z #s(hole binary64 z))
#s(approx (* -4 z) #s(hole binary64 (* -4 z)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* z (+ (* -4 y) (/ (pow x 2) z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
((- (* x x) (* (* y 4) z)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) (* x x)) (* -4 z))
1.0ms
y
@-inf
((- (* x x) (* (* y 4) z)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) (* x x)) (* -4 z))
1.0ms
z
@inf
((- (* x x) (* (* y 4) z)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) (* x x)) (* -4 z))
1.0ms
y
@inf
((- (* x x) (* (* y 4) z)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) (* x x)) (* -4 z))
1.0ms
z
@0
((- (* x x) (* (* y 4) z)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) (* x x)) (* -4 z))

rewrite99.0ms (6.8%)

Memory
8.9MiB live, 145.2MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085434
089412
1354412
02547402
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
35 → 197
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(*.f64 #s(literal -4 binary64) z)
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* -4 (* y z))))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (* (* z y) -4) #s(hole binary64 (* -4 (* y z))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* y (+ (* -4 z) (/ (pow x 2) y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))))
#s(approx z #s(hole binary64 z))
#s(approx (* -4 z) #s(hole binary64 (* -4 z)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* z (+ (* -4 y) (/ (pow x 2) z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))))
Outputs
#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(neg.f64 (*.f64 (*.f64 z y) #s(literal 4 binary64)))
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal -4 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) x))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 (*.f64 z y) #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 (*.f64 z y) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 (*.f64 #s(literal -4 binary64) z) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 (*.f64 z y) #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 (*.f64 z y) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.f64 x x)))))
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eval22.0ms (1.5%)

Memory
12.5MiB live, 55.6MiB allocated; 9ms collecting garbage
Compiler

Compiled 1 393 to 392 computations (71.9% saved)

prune6.0ms (0.4%)

Memory
19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2131214
Fresh000
Picked123
Done000
Total2143217
Accuracy
100.0%
Counts
217 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
51.8%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
55.8%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 29 to 29 computations (0% saved)

series8.0ms (0.5%)

Memory
-29.5MiB live, 16.3MiB allocated; 5ms collecting garbage
Counts
6 → 13
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
Outputs
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (* (* -4 z) y) #s(hole binary64 (* -4 (* y z))))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx (* -4 z) #s(hole binary64 (* -4 z)))
#s(approx z #s(hole binary64 z))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
((- (* x x) (* (* y 4) z)) (* (* -4 z) y) (* -4 z) -4 z y)
1.0ms
z
@inf
((- (* x x) (* (* y 4) z)) (* (* -4 z) y) (* -4 z) -4 z y)
1.0ms
y
@inf
((- (* x x) (* (* y 4) z)) (* (* -4 z) y) (* -4 z) -4 z y)
1.0ms
y
@-inf
((- (* x x) (* (* y 4) z)) (* (* -4 z) y) (* -4 z) -4 z y)
1.0ms
z
@0
((- (* x x) (* (* y 4) z)) (* (* -4 z) y) (* -4 z) -4 z y)

rewrite122.0ms (8.4%)

Memory
17.4MiB live, 123.8MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057233
060229
1236229
01852212
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
19 → 27
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (* (* -4 z) y) #s(hole binary64 (* -4 (* y z))))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx (* -4 z) #s(hole binary64 (* -4 z)))
#s(approx z #s(hole binary64 z))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z))
(*.f64 #s(literal -4 binary64) z)
(*.f64 z #s(literal -4 binary64))
(neg.f64 (*.f64 z #s(literal 4 binary64)))
#s(literal -4 binary64)
z
y
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 z (*.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x)))
#s(approx (* (* -4 z) y) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx y y)
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (neg.f64 (fma.f64 z #s(literal 4 binary64) (/.f64 (*.f64 (neg.f64 x) x) y))) y))
#s(approx (* -4 z) (*.f64 #s(literal -4 binary64) z))
#s(approx z z)
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 (neg.f64 x) x) z))) z))

eval4.0ms (0.3%)

Memory
-41.4MiB live, 5.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 123 to 78 computations (36.6% saved)

prune2.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB 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
99.2%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
51.8%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
55.8%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 58 to 51 computations (12.1% saved)

regimes14.0ms (1%)

Memory
32.0MiB live, 32.0MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
Calls

7 calls:

2.0ms
z
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
y
2.0ms
x
2.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
99.2%1(*.f64 y #s(literal 4 binary64))
99.2%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
99.2%1(*.f64 x x)
99.2%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
99.2%1x
99.2%1y
99.2%1z
Compiler

Compiled 21 to 32 computations (-52.4% saved)

regimes18.0ms (1.2%)

Memory
-21.5MiB live, 25.0MiB allocated; 3ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Calls

7 calls:

8.0ms
x
2.0ms
(*.f64 x x)
1.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
1.0ms
z
1.0ms
(*.f64 y #s(literal 4 binary64))
Results
AccuracySegmentsBranch
70.3%3(*.f64 y #s(literal 4 binary64))
71.9%3(*.f64 (*.f64 y #s(literal 4 binary64)) z)
88.1%2(*.f64 x x)
79.8%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
88.1%2x
70.3%3y
67.8%3z
Compiler

Compiled 21 to 32 computations (-52.4% saved)

regimes7.0ms (0.5%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Calls

7 calls:

1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
x
1.0ms
z
1.0ms
y
1.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
55.8%1z
55.8%1(*.f64 y #s(literal 4 binary64))
55.8%1y
55.8%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
55.8%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
55.8%1(*.f64 x x)
55.8%1x
Compiler

Compiled 21 to 32 computations (-52.4% saved)

bsearch11.0ms (0.8%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
9.622719383018794e-19
8.881090855903286e-14
Samples
5.0ms144×0valid
Compiler

Compiled 210 to 230 computations (-9.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult!: 2.0ms (95.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

derivations67.0ms (4.6%)

Memory
-31.2MiB live, 30.0MiB allocated; 16ms collecting garbage
Stop Event
done
Compiler

Compiled 24 to 18 computations (25% saved)

preprocess37.0ms (2.6%)

Memory
8.8MiB live, 52.9MiB allocated; 6ms collecting garbage
Remove

(sort y z)

(abs x)

Compiler

Compiled 226 to 196 computations (13.3% saved)

end0.0ms (0%)

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

Profiling

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