Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

Time bar (total: 1.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample777.0ms (43.8%)

Memory
29.1MiB live, 1 075.1MiB allocated; 324ms collecting garbage
Samples
566.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 174.0ms
ival-mult!: 153.0ms (87.9% of total)
ival-sub!: 20.0ms (11.5% of total)
adjust: 1.0ms (0.6% of total)
Bogosity

preprocess90.0ms (5.1%)

Memory
-31.5MiB live, 57.6MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03194
111690
236590
378490
4124490
5367590
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(-.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)

series8.0ms (0.5%)

Memory
18.2MiB live, 18.1MiB allocated; 0ms 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)) #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) (+ 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
1.0ms
y
@-inf
((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms
y
@0
((- (* 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)

rewrite193.0ms (10.9%)

Memory
-28.7MiB live, 128.7MiB allocated; 200ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058228
062220
1273220
02195204
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
22 → 120
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) (+ 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 (-.f64 (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 z #s(literal 4 binary64)) 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 #s(literal 4 binary64)) y))) (/.f64 #s(literal 1 binary64) (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 z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 (*.f64 z y) #s(literal -4 binary64))) (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 z y) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.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 z #s(literal 4 binary64)) 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 #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 (-.f64 (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.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 z #s(literal 4 binary64)) y (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.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 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) x) x))))
(/.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 z #s(literal 4 binary64)) 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 #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)))))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 z y) #s(literal -4 binary64))))
(neg.f64 (-.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) y) (*.f64 x x)))
(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 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 z y) #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) 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 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 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 (*.f64 z y) #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 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 z y) #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 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 z y) #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 y) (*.f64 z #s(literal 4 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y) (*.f64 x x))
(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 z y) #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 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 (*.f64 #s(literal 4 binary64) y) (neg.f64 z) (*.f64 x x))
(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 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 #s(literal 4 binary64) (*.f64 (neg.f64 z) 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 z y) #s(literal -4 binary64)))
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (-.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 x x) x) x) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.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 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.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 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 (*.f64 z y) #s(literal -4 binary64))) (fma.f64 (*.f64 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.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 z z) (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))))))
(+.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 #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) (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) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.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 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.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
(*.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 (neg.f64 y) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (neg.f64 y))
(*.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 (*.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 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.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 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))

eval9.0ms (0.5%)

Memory
27.4MiB live, 27.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 814 to 272 computations (66.6% saved)

prune4.0ms (0.2%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1083111
Fresh000
Picked101
Done000
Total1093112
Accuracy
100.0%
Counts
112 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
97.6%
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
49.4%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Compiler

Compiled 26 to 26 computations (0% saved)

series49.0ms (2.8%)

Memory
-31.0MiB live, 15.2MiB allocated; 4ms collecting garbage
Counts
11 → 18
Calls
Call 1
Inputs
#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 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
x
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
(*.f64 #s(literal -4 binary64) y)
(*.f64 x x)
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) (* (* z y) -4)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #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 (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (* -4 y) #s(hole binary64 (* -4 y)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (+ (* x x) (* (* z y) -4)) #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 (+ (* x x) (* (* z y) -4)) #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) (* (* z y) -4)) #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 (+ (* x x) (* (* z y) -4)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))))
Calls

9 calls:

TimeVariablePointExpression
42.0ms
y
@inf
((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* x x) (* (* z y) -4)) x (+ (* (* -4 y) z) (* x x)) (* -4 y) (* x x))
1.0ms
y
@-inf
((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* x x) (* (* z y) -4)) x (+ (* (* -4 y) z) (* x x)) (* -4 y) (* x x))
1.0ms
z
@-inf
((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* x x) (* (* z y) -4)) x (+ (* (* -4 y) z) (* x x)) (* -4 y) (* x x))
1.0ms
x
@inf
((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* x x) (* (* z y) -4)) x (+ (* (* -4 y) z) (* x x)) (* -4 y) (* x x))
1.0ms
z
@0
((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* x x) (* (* z y) -4)) x (+ (* (* -4 y) z) (* x x)) (* -4 y) (* x x))

rewrite138.0ms (7.8%)

Memory
-0.7MiB live, 137.8MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078336
083310
1414310
03154301
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
29 → 258
Calls
Call 1
Inputs
#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 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
x
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
(*.f64 #s(literal -4 binary64) y)
(*.f64 x x)
#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) (* (* z y) -4)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #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 (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (* -4 y) #s(hole binary64 (* -4 y)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (+ (* x x) (* (* z y) -4)) #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 (+ (* x x) (* (* z y) -4)) #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) (* (* z y) -4)) #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 (+ (* x x) (* (* z y) -4)) #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 (neg.f64 y) (*.f64 z #s(literal 4 binary64)))
(*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64))
(*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.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 #s(literal 4 binary64) (*.f64 (neg.f64 z) 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 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z))) (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.f64 x x))))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z))) (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (-.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 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z))) (*.f64 (*.f64 z y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 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))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z))) (*.f64 (*.f64 z y) #s(literal -4 binary64))) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z))) (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z))) (*.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 x x) x) x (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (-.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 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z))) (*.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 (-.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z))) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z))) (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z))) (*.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 z y) #s(literal -4 binary64)) (-.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 y y) (*.f64 #s(literal 16 binary64) (*.f64 z z))) (*.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)))))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 z y) #s(literal -4 binary64))))
(neg.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal 4 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (neg.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 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #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) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.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 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #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) x) (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.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 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.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 (neg.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 (*.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 (*.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 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.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 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #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 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #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 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #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 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #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 y) (*.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y) (*.f64 x x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #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 (neg.f64 (*.f64 (neg.f64 z) y)) #s(literal -4 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #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 (neg.f64 (*.f64 (neg.f64 z) y)) #s(literal -4 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 (neg.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 (neg.f64 (*.f64 (neg.f64 z) y)) #s(literal -4 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (*.f64 (neg.f64 (neg.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 (neg.f64 (neg.f64 x)) x))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 z) y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 z) y) (*.f64 x x))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #s(literal -4 binary64)))
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(neg.f64 (*.f64 #s(literal 4 binary64) y))
(*.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) (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) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.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 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.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))))
#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) z) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
#s(approx x x)
#s(approx (* x x) (*.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 (* z y) (*.f64 z y))
#s(approx y y)
#s(approx (* -4 y) (*.f64 #s(literal -4 binary64) 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 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) 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 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.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 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) 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 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))

eval14.0ms (0.8%)

Memory
32.3MiB live, 32.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 181 to 340 computations (71.2% saved)

prune7.0ms (0.4%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1651166
Fresh000
Picked123
Done000
Total1663169
Accuracy
100.0%
Counts
169 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
97.6%
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
49.4%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
Compiler

Compiled 26 to 26 computations (0% saved)

series58.0ms (3.2%)

Memory
-37.0MiB live, 8.9MiB allocated; 5ms collecting garbage
Counts
6 → 12
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
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) (* (* 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 y) #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
53.0ms
y
@inf
((- (* x x) (* (* y 4) z)) (* (* -4 y) z) (* -4 y) -4 y z)
1.0ms
y
@-inf
((- (* x x) (* (* y 4) z)) (* (* -4 y) z) (* -4 y) -4 y z)
1.0ms
z
@-inf
((- (* x x) (* (* y 4) z)) (* (* -4 y) z) (* -4 y) -4 y z)
1.0ms
z
@inf
((- (* x x) (* (* y 4) z)) (* (* -4 y) z) (* -4 y) -4 y z)
1.0ms
y
@0
((- (* x x) (* (* y 4) z)) (* (* -4 y) z) (* -4 y) -4 y z)

rewrite80.0ms (4.5%)

Memory
-5.6MiB live, 95.1MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055222
058214
1265214
02203197
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
18 → 33
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
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) (* (* 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 y) #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
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64))
(*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y))
(*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.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 #s(literal 4 binary64) (*.f64 (neg.f64 z) y))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z))
(*.f64 (neg.f64 y) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal 4 binary64) (neg.f64 y))
(*.f64 y #s(literal -4 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) y))
#s(literal -4 binary64)
y
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) z) y (*.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) z) y (*.f64 x x)))
#s(approx (* -4 y) (*.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 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.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 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))

eval2.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 129 to 83 computations (35.7% saved)

prune2.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New23124
Fresh000
Picked011
Done112
Total24327
Accuracy
100.0%
Counts
27 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
49.4%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
57.3%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 29 to 29 computations (0% saved)

series3.0ms (0.2%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
3 → 10
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
x
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) (+ 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 (- (* 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 (- (* 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
x
@-inf
((- (* x x) (* (* y 4) z)) (* x x) x)
1.0ms
x
@inf
((- (* x x) (* (* y 4) z)) (* x x) x)
0.0ms
x
@0
((- (* x x) (* (* y 4) z)) (* x x) x)
0.0ms
y
@inf
((- (* x x) (* (* y 4) z)) (* x x) x)
0.0ms
z
@-inf
((- (* x x) (* (* y 4) z)) (* x x) x)

rewrite75.0ms (4.3%)

Memory
-1.3MiB live, 141.9MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052197
053189
1262189
02190173
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
13 → 46
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)) #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) (+ 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 (- (* 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 (- (* 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 x 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) (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) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.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 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.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 (- (* 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 (*.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 (- (* 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 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#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 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))

eval3.0ms (0.2%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 211 to 124 computations (41.2% saved)

prune3.0ms (0.2%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New40040
Fresh000
Picked011
Done022
Total40343
Accuracy
100.0%
Counts
43 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
49.4%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
57.3%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 61 to 52 computations (14.8% saved)

regimes18.0ms (1%)

Memory
1.9MiB live, 48.2MiB allocated; 4ms collecting garbage
Counts
6 → 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) y) z))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
Calls

7 calls:

5.0ms
z
2.0ms
y
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
x
2.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
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 21 to 32 computations (-52.4% saved)

regimes69.0ms (3.9%)

Memory
-10.5MiB live, 35.8MiB allocated; 3ms collecting garbage
Counts
4 → 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) y) z))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Outputs
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Calls

7 calls:

58.0ms
z
2.0ms
x
2.0ms
y
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
97.6%1(*.f64 y #s(literal 4 binary64))
97.6%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
99.6%2(*.f64 x x)
99.6%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
100.0%2x
97.6%1y
97.6%1z
Compiler

Compiled 21 to 32 computations (-52.4% saved)

regimes38.0ms (2.2%)

Memory
-9.2MiB live, 37.1MiB 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) y) z))
#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) y) z))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Calls

7 calls:

29.0ms
z
2.0ms
y
1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
x
1.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
68.5%3(*.f64 y #s(literal 4 binary64))
72.9%3(*.f64 (*.f64 y #s(literal 4 binary64)) z)
68.5%3y
68.5%2z
84.9%2(*.f64 x x)
79.1%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
84.9%2x
Compiler

Compiled 21 to 32 computations (-52.4% saved)

regimes16.0ms (0.9%)

Memory
-35.6MiB live, 25.8MiB allocated; 20ms 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
x
1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
z
1.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
1.0ms
y
Results
AccuracySegmentsBranch
57.3%1(*.f64 y #s(literal 4 binary64))
57.3%1y
57.3%1z
57.3%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
57.3%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
57.3%1(*.f64 x x)
57.3%1x
Compiler

Compiled 21 to 32 computations (-52.4% saved)

bsearch2.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.9255059766424813e+192
2.0023209688189116e+192
Samples
1.0ms16×0valid
Compiler

Compiled 29 to 33 computations (-13.8% saved)

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

bsearch11.0ms (0.6%)

Memory
30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
116442.06853141508
357063432870.74457
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 (90.9% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

derivations53.0ms (3%)

Memory
-0.7MiB live, 90.1MiB allocated; 10ms collecting garbage
Stop Event
done
Compiler

Compiled 30 to 24 computations (20% saved)

preprocess49.0ms (2.7%)

Memory
-27.2MiB live, 120.1MiB allocated; 10ms collecting garbage
Remove

(sort y z)

(abs x)

Compiler

Compiled 334 to 304 computations (9% saved)

end0.0ms (0%)

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

Profiling

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