Linear.Quaternion:$c/ from linear-1.19.1.3, E

Time bar (total: 3.4s)

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 17 to 9 computations (47.1% saved)

sample857.0ms (25.3%)

Memory
15.2MiB live, 984.1MiB allocated; 336ms collecting garbage
Samples
528.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 210.0ms
ival-mult!: 165.0ms (78.7% of total)
ival-add!: 43.0ms (20.5% of total)
adjust: 1.0ms (0.5% of total)
Bogosity

preprocess72.0ms (2.1%)

Memory
-38.9MiB live, 55.0MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02292
110780
238956
378954
4152054
5494854
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Symmetry

(abs x)

(abs y)

Compiler

Compiled 18 to 14 computations (22.2% saved)

series6.0ms (0.2%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Counts
7 → 17
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (* 2 (pow y 2))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow x 2))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
Calls

6 calls:

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

rewrite240.0ms (7.1%)

Memory
39.1MiB live, 322.8MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057380
065324
1368280
23569280
08288253
133135253
Stop Event
saturated
node-limit
iter-limit
Counts
24 → 576
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (* 2 (pow y 2))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow x 2))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
Outputs
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) y) y)
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64))))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 y y))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64)))
(*.f64 (*.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(*.f64 y (*.f64 y (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(*.f64 x (*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64))))
(neg.f64 (-.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (*.f64 y (+.f64 y y))))
(neg.f64 (-.f64 (*.f64 (neg.f64 y) y) (fma.f64 y (+.f64 y y) (*.f64 x x))))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 3 binary64) (*.f64 y y))))
(fma.f64 (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) (fabs.f64 y)) (fabs.f64 y) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) (neg.f64 y)) (neg.f64 y) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) y) y (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 (*.f64 y (/.f64 y (*.f64 x x))) (fabs.f64 x)) (fabs.f64 x) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 y (/.f64 y (*.f64 x x))) (neg.f64 x)) (neg.f64 x) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 y (/.f64 y (*.f64 x x))) x) x (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 y y))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 y y))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x (*.f64 y y))
(fma.f64 (*.f64 (/.f64 (*.f64 y (+.f64 y y)) (*.f64 x x)) (fabs.f64 x)) (fabs.f64 x) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 (*.f64 y (+.f64 y y)) (*.f64 x x)) (neg.f64 x)) (neg.f64 x) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 (*.f64 y (+.f64 y y)) (*.f64 x x)) x) x (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 3 binary64) (fabs.f64 y)) (fabs.f64 y) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 y (/.f64 y (*.f64 x x))) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (fabs.f64 y)) (fabs.f64 y) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (fabs.f64 y)) (fabs.f64 y) (*.f64 y y))
(fma.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y) (*.f64 y y))
(fma.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) y) y (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) y) y (*.f64 y y))
(fma.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 y (+.f64 y y)))
(fma.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 y (+.f64 y y)))
(fma.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x (*.f64 y (+.f64 y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 y)) (fabs.f64 y) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 y) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 x x)) (fabs.f64 x)) (fabs.f64 x) (*.f64 x x))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 x x)) (neg.f64 x)) (neg.f64 x) (*.f64 x x))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 x x)) x) x (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) (fabs.f64 y)) (fabs.f64 y) (*.f64 y (+.f64 y y)))
(fma.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) (neg.f64 y)) (neg.f64 y) (*.f64 y (+.f64 y y)))
(fma.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y (*.f64 y (+.f64 y y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) y) y (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 y (/.f64 y (*.f64 x x))) (fma.f64 x x (*.f64 y y)))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 y y) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 y y) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 y y))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 x x))) (*.f64 x x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64))) (*.f64 y (+.f64 y y)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 y (/.f64 y (*.f64 x x)))) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 (*.f64 y (+.f64 y y)) (*.f64 x x))) (fma.f64 x x (*.f64 y y)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 2 binary64))) (*.f64 y y))
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(fma.f64 y (*.f64 y #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 x (*.f64 x (*.f64 y (/.f64 y (*.f64 x x)))) (*.f64 x x))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x x (*.f64 y y))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y (/.f64 y (*.f64 x x)))))
(-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(-.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x (/.f64 x (*.f64 y y)))))
(-.f64 (*.f64 y y) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (*.f64 y y)))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) y) 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 (*.f64 (*.f64 (*.f64 x x) y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 x (/.f64 x (*.f64 y y)))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 x (/.f64 x (*.f64 y y)))))
(*.f64 (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 y y))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 y y) (*.f64 x (/.f64 x (*.f64 y y))))
(*.f64 y (*.f64 y (*.f64 x (/.f64 x (*.f64 y y)))))
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.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 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 y) y))
(/.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))
(/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 y y))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
x
(*.f64 (*.f64 (*.f64 y (/.f64 y (*.f64 x x))) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (*.f64 y (/.f64 y (*.f64 x x))) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 y (/.f64 y (*.f64 x x))) x) x)
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) y) y)
(*.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 y (/.f64 y (*.f64 x x)))))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (*.f64 x x)))))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (*.f64 y (/.f64 y (*.f64 x x))) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 (*.f64 x x) (*.f64 y (/.f64 y (*.f64 x x))))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(*.f64 x (*.f64 x (*.f64 y (/.f64 y (*.f64 x x)))))
(pow.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 (fabs.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 x x))
(/.f64 (*.f64 y (+.f64 y y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 y (+.f64 y y)))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
#s(approx (+ (* x x) (* y y)) (fma.f64 x x (*.f64 y y)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
#s(approx (+ (* x x) (* y y)) (fma.f64 x x (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
#s(approx y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
#s(approx (+ (* x x) (* y y)) (fma.f64 x x (*.f64 y y)))

eval62.0ms (1.8%)

Memory
-9.1MiB live, 227.5MiB allocated; 21ms collecting garbage
Compiler

Compiled 4 591 to 1 458 computations (68.2% saved)

prune13.0ms (0.4%)

Memory
4.1MiB live, 48.1MiB allocated; 6ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5576563
Fresh000
Picked101
Done000
Total5586564
Accuracy
100.0%
Counts
564 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
99.9%
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
99.9%
(fma.f64 y y (fma.f64 y (+.f64 y y) (*.f64 x x)))
88.4%
(+.f64 (+.f64 (+.f64 (*.f64 x x) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y)))
77.0%
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64)) x) x)
60.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Compiler

Compiled 118 to 98 computations (16.9% saved)

series37.0ms (1.1%)

Memory
-12.1MiB live, 88.5MiB allocated; 31ms collecting garbage
Counts
19 → 30
Calls
Call 1
Inputs
(fma.f64 y y (fma.f64 y (+.f64 y y) (*.f64 x x)))
y
(fma.f64 y (+.f64 y y) (*.f64 x x))
(+.f64 y y)
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
#s(literal 3 binary64)
(*.f64 y y)
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64))
(*.f64 y (/.f64 y (*.f64 x x)))
(/.f64 y (*.f64 x x))
#s(literal 1 binary64)
Outputs
#s(approx (+ (* y y) (+ (* y (+ y y)) (* x x))) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (* y y) (+ (* y (+ y y)) (* x x))) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (* 2 (pow y 2))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 3 y) y) (* x x)) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (+ (* (* 3 y) y) (* x x)) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* 3 (/ (pow y 2) x))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (/ (+ (* 3 (pow y 2)) (pow x 2)) x)))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (* 3 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (/ (+ (* 3 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (* y (/ y (* x x))) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (/ y (* x x)) #s(hole binary64 (/ y (pow x 2))))
#s(approx (+ (* y y) (+ (* y (+ y y)) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* (* 3 y) y) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* x (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 1))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (+ 1 (* 3 (/ (pow y 2) (pow x 2))))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* -1 (* x (- (* -3 (/ (pow y 2) (pow x 2))) 1)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* 3 y) #s(hole binary64 (* 3 y)))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (+ x (* 3 (/ (pow y 2) x)))))
#s(approx (+ (* y y) (+ (* y (+ y y)) (* x x))) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* (pow y 2) (+ (* 3 (/ 1 x)) (/ x (pow y 2))))))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (* (pow y 2) (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))))
Calls

6 calls:

TimeVariablePointExpression
20.0ms
y
@-inf
((+ (* y y) (+ (* y (+ y y)) (* x x))) y (+ (* y (+ y y)) (* x x)) (+ y y) (* x x) x (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) 3 (* y y) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (* (* y y) 3) (* x x)) (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (+ (* 3 (* y (/ y (* x x)))) 1) (* y (/ y (* x x))) (/ y (* x x)) 1)
6.0ms
x
@inf
((+ (* y y) (+ (* y (+ y y)) (* x x))) y (+ (* y (+ y y)) (* x x)) (+ y y) (* x x) x (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) 3 (* y y) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (* (* y y) 3) (* x x)) (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (+ (* 3 (* y (/ y (* x x)))) 1) (* y (/ y (* x x))) (/ y (* x x)) 1)
4.0ms
y
@inf
((+ (* y y) (+ (* y (+ y y)) (* x x))) y (+ (* y (+ y y)) (* x x)) (+ y y) (* x x) x (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) 3 (* y y) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (* (* y y) 3) (* x x)) (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (+ (* 3 (* y (/ y (* x x)))) 1) (* y (/ y (* x x))) (/ y (* x x)) 1)
2.0ms
x
@0
((+ (* y y) (+ (* y (+ y y)) (* x x))) y (+ (* y (+ y y)) (* x x)) (+ y y) (* x x) x (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) 3 (* y y) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (* (* y y) 3) (* x x)) (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (+ (* 3 (* y (/ y (* x x)))) 1) (* y (/ y (* x x))) (/ y (* x x)) 1)
2.0ms
y
@0
((+ (* y y) (+ (* y (+ y y)) (* x x))) y (+ (* y (+ y y)) (* x x)) (+ y y) (* x x) x (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) 3 (* y y) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (* (* y y) 3) (* x x)) (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (+ (* 3 (* y (/ y (* x x)))) 1) (* y (/ y (* x x))) (/ y (* x x)) 1)

rewrite225.0ms (6.6%)

Memory
-10.7MiB live, 263.5MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115679
0136583
1700373
26488373
08849348
124054348
Stop Event
saturated
node-limit
iter-limit
Counts
49 → 1 207
Calls
Call 1
Inputs
(fma.f64 y y (fma.f64 y (+.f64 y y) (*.f64 x x)))
y
(fma.f64 y (+.f64 y y) (*.f64 x x))
(+.f64 y y)
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
#s(literal 3 binary64)
(*.f64 y y)
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64))
(*.f64 y (/.f64 y (*.f64 x x)))
(/.f64 y (*.f64 x x))
#s(literal 1 binary64)
#s(approx (+ (* y y) (+ (* y (+ y y)) (* x x))) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (* y y) (+ (* y (+ y y)) (* x x))) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (* 2 (pow y 2))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 3 y) y) (* x x)) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (+ (* (* 3 y) y) (* x x)) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* 3 (/ (pow y 2) x))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (/ (+ (* 3 (pow y 2)) (pow x 2)) x)))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (* 3 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (/ (+ (* 3 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (* y (/ y (* x x))) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (/ y (* x x)) #s(hole binary64 (/ y (pow x 2))))
#s(approx (+ (* y y) (+ (* y (+ y y)) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* (* 3 y) y) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* x (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 1))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (+ 1 (* 3 (/ (pow y 2) (pow x 2))))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* -1 (* x (- (* -3 (/ (pow y 2) (pow x 2))) 1)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* 3 y) #s(hole binary64 (* 3 y)))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (+ x (* 3 (/ (pow y 2) x)))))
#s(approx (+ (* y y) (+ (* y (+ y y)) (* x x))) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* (pow y 2) (+ (* 3 (/ 1 x)) (/ x (pow y 2))))))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (* (pow y 2) (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))))
Outputs
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) y) y)
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (fma.f64 x x #s(literal 3 binary64))))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (fma.f64 x x #s(literal 3 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) x x) x)
(*.f64 (fma.f64 x x #s(literal 3 binary64)) (*.f64 y y))
(*.f64 (*.f64 y y) (fma.f64 x x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) x x))
(*.f64 y (*.f64 y (fma.f64 x x #s(literal 3 binary64))))
(neg.f64 (-.f64 #s(literal -3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 y y))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 y y))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (fabs.f64 y)) (fabs.f64 y) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 3 binary64))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (fabs.f64 y)) (fabs.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (fabs.f64 y)) (fabs.f64 y) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (fabs.f64 y)) (fabs.f64 y) (*.f64 y y))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (fabs.f64 y)) (fabs.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y) (*.f64 y y))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) y) y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) y) y (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) y) y (*.f64 y y))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) y) y #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x (*.f64 y y))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 3 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 (/.f64 (fabs.f64 x) (fabs.f64 y)) (/.f64 (fabs.f64 x) (fabs.f64 y)) #s(literal 3 binary64))
(fma.f64 (/.f64 (fabs.f64 x) (neg.f64 y)) (/.f64 (fabs.f64 x) (neg.f64 y)) #s(literal 3 binary64))
(fma.f64 (/.f64 (fabs.f64 x) y) (/.f64 (fabs.f64 x) y) #s(literal 3 binary64))
(fma.f64 (/.f64 (neg.f64 x) (fabs.f64 y)) (/.f64 (neg.f64 x) (fabs.f64 y)) #s(literal 3 binary64))
(fma.f64 (/.f64 (neg.f64 x) (neg.f64 y)) (/.f64 (neg.f64 x) (neg.f64 y)) #s(literal 3 binary64))
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y) #s(literal 3 binary64))
(fma.f64 (/.f64 x (fabs.f64 y)) (/.f64 x (fabs.f64 y)) #s(literal 3 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y)) #s(literal 3 binary64))
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 3 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 3 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 3 binary64))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 3 binary64))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 (*.f64 (fabs.f64 x) (fabs.f64 y)) (*.f64 (fabs.f64 x) (fabs.f64 y)) #s(literal 3 binary64))
(fma.f64 (*.f64 (neg.f64 x) (fabs.f64 y)) (*.f64 (neg.f64 x) (fabs.f64 y)) #s(literal 3 binary64))
(fma.f64 (*.f64 x (fabs.f64 y)) (*.f64 x (fabs.f64 y)) #s(literal 3 binary64))
(fma.f64 (*.f64 (fabs.f64 x) (neg.f64 y)) (*.f64 (fabs.f64 x) (neg.f64 y)) #s(literal 3 binary64))
(fma.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 x) (neg.f64 y)) #s(literal 3 binary64))
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)) #s(literal 3 binary64))
(fma.f64 (*.f64 (fabs.f64 x) y) (*.f64 (fabs.f64 x) y) #s(literal 3 binary64))
(fma.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
(fma.f64 (*.f64 x y) (*.f64 x y) #s(literal 3 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal 3 binary64))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 x x)) #s(literal 3 binary64))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (fma.f64 x x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (fma.f64 x x #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (fma.f64 x x #s(literal 2 binary64))) (*.f64 y y))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 y y))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 y y)) #s(literal 3 binary64))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (*.f64 y y)) #s(literal 3 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 3 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 x x)) #s(literal 3 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (fma.f64 x x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (fma.f64 x x #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (fma.f64 x x #s(literal 2 binary64))) (*.f64 y y))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 y y))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 y y)) #s(literal 3 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 3 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x) (*.f64 y y))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 2 binary64)) (*.f64 y y))
(fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
(fma.f64 (*.f64 y y) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 y y) (*.f64 y y))
(fma.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 3 binary64))
(fma.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 y y))
(fma.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y (*.f64 y (fma.f64 x x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 y (*.f64 y (fma.f64 x x #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 y (*.f64 y (fma.f64 x x #s(literal 2 binary64))) (*.f64 y y))
(fma.f64 y (*.f64 y (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (*.f64 x x)) #s(literal 3 binary64))
(fma.f64 y y (fma.f64 x x #s(literal 2 binary64)))
(-.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) (*.f64 x x)))
(-.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 y y (*.f64 x x))))
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#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* (* 3 y) y) (* x x)) #s(literal 3 binary64))
#s(approx (+ (* (* 3 y) y) (* x x)) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (/.f64 #s(literal 3 binary64) x))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (-.f64 x (/.f64 #s(literal -3 binary64) x)))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) (/.f64 #s(literal 3 binary64) (*.f64 x x)))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)))
#s(approx (* y (/ y (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ y (* x x)) (/.f64 y (*.f64 x x)))
#s(approx (+ (* (* 3 y) y) (* x x)) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (+ (* y (+ y y)) (* x x)) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (* (* 3 y) y) (* x x)) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) x x))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) x x))
#s(approx y y)
#s(approx (+ y y) #s(literal 2 binary64))
#s(approx (* y y) (*.f64 y y))
#s(approx (* 3 y) (*.f64 #s(literal 3 binary64) y))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (-.f64 x (/.f64 #s(literal -3 binary64) x)))
#s(approx (+ (* (* 3 y) y) (* x x)) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (+ (* y (+ y y)) (* x x)) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (-.f64 x (/.f64 #s(literal -3 binary64) x)))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)))

eval110.0ms (3.2%)

Memory
51.6MiB live, 281.2MiB allocated; 36ms collecting garbage
Compiler

Compiled 6 350 to 2 463 computations (61.2% saved)

prune26.0ms (0.8%)

Memory
-34.7MiB live, 59.5MiB allocated; 17ms collecting garbage
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New9285933
Fresh101
Picked055
Done000
Total92910939
Accuracy
100.0%
Counts
939 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
99.9%
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
99.9%
(fma.f64 y y (fma.f64 y (+.f64 y y) (*.f64 x x)))
32.5%
(fma.f64 y y #s(approx (+ (* y (+ y y)) (* x x)) #s(literal 2 binary64)))
37.5%
(fma.f64 x x #s(literal 3 binary64))
77.0%
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64)) x) x)
54.0%
(*.f64 (*.f64 #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)) x) x)
60.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
53.4%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))))
4.4%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
Compiler

Compiled 145 to 137 computations (5.5% saved)

series10.0ms (0.3%)

Memory
32.2MiB live, 32.2MiB allocated; 0ms collecting garbage
Counts
18 → 31
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)) x) x)
(*.f64 #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y y #s(approx (+ (* y (+ y y)) (* x x)) #s(literal 2 binary64)))
y
#s(approx (+ (* y (+ y y)) (* x x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))
(*.f64 (*.f64 (*.f64 y y) y) y)
(*.f64 (*.f64 y y) y)
(*.f64 y y)
Outputs
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* 3 (/ (pow y 2) x))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (/ (+ (* 3 (pow y 2)) (pow x 2)) x)))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (* 3 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (/ (+ (* 3 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* x x) 3) #s(hole binary64 3))
#s(approx (+ (* x x) 3) #s(hole binary64 (+ 3 (pow x 2))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (* 2 (pow y 2))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow x 2))))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* x (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 1))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (+ 1 (* 3 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) 3) #s(hole binary64 (* (pow x 2) (+ 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* -1 (* x (- (* -3 (/ (pow y 2) (pow x 2))) 1)))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (+ x (* 3 (/ (pow y 2) x)))))
#s(approx y #s(hole binary64 y))
#s(approx (sqrt (* (* (* y y) y) y)) #s(hole binary64 (pow y 2)))
#s(approx (* (* (* y y) y) y) #s(hole binary64 (pow y 4)))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* (pow y 2) (+ (* 3 (/ 1 x)) (/ x (pow y 2))))))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (* (pow y 2) (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (+ (* 3 (* y (/ y (* x x)))) 1) 1 x (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 3 (+ (* x x) 3) (+ (* y y) (+ (* y (+ y y)) (* x x))) y (+ (* y (+ y y)) (* x x)) 2 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (sqrt (* (* (* y y) y) y))) (sqrt (* (* (* y y) y) y)) (* (* (* y y) y) y) (* (* y y) y) (* y y))
2.0ms
y
@-inf
((* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (+ (* 3 (* y (/ y (* x x)))) 1) 1 x (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 3 (+ (* x x) 3) (+ (* y y) (+ (* y (+ y y)) (* x x))) y (+ (* y (+ y y)) (* x x)) 2 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (sqrt (* (* (* y y) y) y))) (sqrt (* (* (* y y) y) y)) (* (* (* y y) y) y) (* (* y y) y) (* y y))
1.0ms
y
@0
((* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (+ (* 3 (* y (/ y (* x x)))) 1) 1 x (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 3 (+ (* x x) 3) (+ (* y y) (+ (* y (+ y y)) (* x x))) y (+ (* y (+ y y)) (* x x)) 2 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (sqrt (* (* (* y y) y) y))) (sqrt (* (* (* y y) y) y)) (* (* (* y y) y) y) (* (* y y) y) (* y y))
1.0ms
x
@inf
((* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (+ (* 3 (* y (/ y (* x x)))) 1) 1 x (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 3 (+ (* x x) 3) (+ (* y y) (+ (* y (+ y y)) (* x x))) y (+ (* y (+ y y)) (* x x)) 2 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (sqrt (* (* (* y y) y) y))) (sqrt (* (* (* y y) y) y)) (* (* (* y y) y) y) (* (* y y) y) (* y y))
1.0ms
x
@-inf
((* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (+ (* 3 (* y (/ y (* x x)))) 1) 1 x (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 3 (+ (* x x) 3) (+ (* y y) (+ (* y (+ y y)) (* x x))) y (+ (* y (+ y y)) (* x x)) 2 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (sqrt (* (* (* y y) y) y))) (sqrt (* (* (* y y) y) y)) (* (* (* y y) y) y) (* (* y y) y) (* y y))

rewrite284.0ms (8.4%)

Memory
12.4MiB live, 289.6MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118792
0129722
1691403
26941403
08838375
137454375
Stop Event
saturated
node-limit
iter-limit
Counts
49 → 291
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)) x) x)
(*.f64 #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y y #s(approx (+ (* y (+ y y)) (* x x)) #s(literal 2 binary64)))
y
#s(approx (+ (* y (+ y y)) (* x x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))
(*.f64 (*.f64 (*.f64 y y) y) y)
(*.f64 (*.f64 y y) y)
(*.f64 y y)
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* 3 (/ (pow y 2) x))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (/ (+ (* 3 (pow y 2)) (pow x 2)) x)))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (* 3 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (/ (+ (* 3 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* x x) 3) #s(hole binary64 3))
#s(approx (+ (* x x) 3) #s(hole binary64 (+ 3 (pow x 2))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (* 2 (pow y 2))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow x 2))))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* x (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 1))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (+ 1 (* 3 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) 3) #s(hole binary64 (* (pow x 2) (+ 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* -1 (* x (- (* -3 (/ (pow y 2) (pow x 2))) 1)))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (+ x (* 3 (/ (pow y 2) x)))))
#s(approx y #s(hole binary64 y))
#s(approx (sqrt (* (* (* y y) y) y)) #s(hole binary64 (pow y 2)))
#s(approx (* (* (* y y) y) y) #s(hole binary64 (pow y 4)))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) #s(hole binary64 (* (pow y 2) (+ (* 3 (/ 1 x)) (/ x (pow y 2))))))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(hole binary64 (* (pow y 2) (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))))
#s(approx (+ (* y (+ y y)) (* x x)) #s(hole binary64 (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))))
Outputs
(*.f64 (*.f64 #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 x x) #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)) x) x)
(*.f64 #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 x (*.f64 #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) y) y)
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (fma.f64 x x #s(literal 3 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (fma.f64 x x #s(literal 3 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (fma.f64 x x #s(literal 3 binary64)) (*.f64 y y))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 y y) (fma.f64 x x #s(literal 3 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) x x) x)
(*.f64 x (fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) x x))
(*.f64 y (*.f64 y (fma.f64 x x #s(literal 3 binary64))))
(neg.f64 (-.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) #s(literal 2 binary64)))
(neg.f64 (-.f64 (*.f64 (neg.f64 y) y) (fma.f64 x x #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal -3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) (fabs.f64 y)) (fabs.f64 y) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 3 binary64))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 y y))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 y y))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (fabs.f64 y)) (fabs.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (fabs.f64 y)) (fabs.f64 y) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (fabs.f64 y)) (fabs.f64 y) (*.f64 y y))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (fabs.f64 y)) (fabs.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y) (*.f64 y y))
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(pow.f64 y #s(literal 3 binary64))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (fabs.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(literal 3 binary64))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (/.f64 #s(literal 3 binary64) x))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (-.f64 x (/.f64 #s(literal -3 binary64) x)))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) (/.f64 #s(literal 3 binary64) (*.f64 x x)))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)))
#s(approx x x)
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(literal 3 binary64))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(literal 3 binary64))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (+ (* y (+ y y)) (* x x)) #s(literal 2 binary64))
#s(approx (+ (* y (+ y y)) (* x x)) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) x x))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (+ (* y (+ y y)) (* x x)) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) x x))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (-.f64 x (/.f64 #s(literal -3 binary64) x)))
#s(approx y y)
#s(approx (sqrt (* (* (* y y) y) y)) (*.f64 y y))
#s(approx (* (* (* y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y))
#s(approx (* (* y y) y) (*.f64 (*.f64 y y) y))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (* (+ (* 3 (* y (/ y (* x x)))) 1) x) (-.f64 x (/.f64 #s(literal -3 binary64) x)))
#s(approx (+ (* 3 (* y (/ y (* x x)))) 1) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)))
#s(approx (+ (* y (+ y y)) (* x x)) (fma.f64 x x #s(literal 2 binary64)))

eval28.0ms (0.8%)

Memory
-32.6MiB live, 70.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 1 526 to 530 computations (65.3% saved)

prune7.0ms (0.2%)

Memory
26.4MiB live, 26.4MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New2392241
Fresh000
Picked235
Done055
Total24110251
Accuracy
100.0%
Counts
251 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
99.9%
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
99.9%
(fma.f64 y y (fma.f64 y (+.f64 y y) (*.f64 x x)))
32.5%
(fma.f64 y y #s(approx (+ (* y (+ y y)) (* x x)) #s(literal 2 binary64)))
77.0%
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64)) x) x)
60.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
53.4%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))
53.4%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))))
4.4%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
54.0%
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
Compiler

Compiled 105 to 97 computations (7.6% saved)

series10.0ms (0.3%)

Memory
-20.4MiB live, 25.8MiB allocated; 4ms collecting garbage
Counts
10 → 12
Calls
Call 1
Inputs
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
#s(literal 3 binary64)
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
Outputs
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (sqrt (pow y 4)) #s(hole binary64 (pow y 2)))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx y #s(hole binary64 y))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (* x x) x (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (sqrt (pow y 4))) 3 (sqrt (pow y 4)) (pow y 4) y 4)
2.0ms
y
@inf
((* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (* x x) x (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (sqrt (pow y 4))) 3 (sqrt (pow y 4)) (pow y 4) y 4)
2.0ms
y
@-inf
((* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (* x x) x (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (sqrt (pow y 4))) 3 (sqrt (pow y 4)) (pow y 4) y 4)
1.0ms
y
@0
((* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (* x x) x (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (sqrt (pow y 4))) 3 (sqrt (pow y 4)) (pow y 4) y 4)
1.0ms
x
@inf
((* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (* x x) x (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (sqrt (pow y 4))) 3 (sqrt (pow y 4)) (pow y 4) y 4)

rewrite445.0ms (13.1%)

Memory
21.3MiB live, 255.8MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056288
060260
1339240
23130226
08295212
130075212
Stop Event
saturated
node-limit
iter-limit
Counts
22 → 206
Calls
Call 1
Inputs
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
#s(literal 3 binary64)
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (sqrt (pow y 4)) #s(hole binary64 (pow y 2)))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx y #s(hole binary64 y))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
Outputs
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) y) 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 (*.f64 (*.f64 (*.f64 x x) y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 x (/.f64 x (*.f64 y y)))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 x (/.f64 x (*.f64 y y)))))
(*.f64 (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 y y))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 y y) (*.f64 x (/.f64 x (*.f64 y y))))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(*.f64 y (*.f64 y (*.f64 x (/.f64 x (*.f64 y y)))))
(pow.f64 (neg.f64 (fabs.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 y y))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 y #s(literal 3 binary64)) y)
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 3 binary64)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 3 binary64)))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 y (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(neg.f64 (-.f64 (*.f64 (neg.f64 y) y) (*.f64 y (+.f64 y y))))
(fma.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 y)) (fabs.f64 y) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 y)) (fabs.f64 y) (*.f64 #s(literal 1 binary64) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 y)) (fabs.f64 y) (*.f64 y y))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 #s(literal 1 binary64) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 y y))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 #s(literal 1 binary64) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 y y))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (*.f64 y (+.f64 y y)))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 y (+.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 y (+.f64 y y)))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 y y)))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 2 binary64)) (*.f64 y y))
(fma.f64 (fabs.f64 y) (+.f64 (fabs.f64 y) (fabs.f64 y)) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 y) (+.f64 (fabs.f64 y) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 y y)))
(fma.f64 (fabs.f64 y) (+.f64 (fabs.f64 y) (fabs.f64 y)) (*.f64 y y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 y (+.f64 y y)))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 y y)))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 y y))
(fma.f64 (neg.f64 y) (+.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) (+.f64 (neg.f64 y) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 y y)))
(fma.f64 (neg.f64 y) (+.f64 (neg.f64 y) (neg.f64 y)) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 y (+.f64 y y)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 y y)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 #s(literal 1 binary64) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 y y)))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 y y))
(fma.f64 y (+.f64 y y) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 y (+.f64 y y) (*.f64 #s(literal 1 binary64) (*.f64 y y)))
(fma.f64 y (+.f64 y y) (*.f64 y y))
(fma.f64 y y (*.f64 y (+.f64 y y)))
(-.f64 (*.f64 y (+.f64 y y)) (*.f64 (neg.f64 y) y))
(-.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64)))
(-.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) (*.f64 y y)))
(-.f64 (*.f64 y y) (neg.f64 (*.f64 y (+.f64 y y))))
(+.f64 (*.f64 y (+.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(+.f64 (*.f64 y (+.f64 y y)) (*.f64 #s(literal 1 binary64) (*.f64 y y)))
(+.f64 (*.f64 y (+.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 y (+.f64 y y)))
#s(literal 3 binary64)
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (neg.f64 (fabs.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (neg.f64 y))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(*.f64 (*.f64 (fabs.f64 y) (*.f64 y y)) (fabs.f64 y))
(*.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) (fabs.f64 y)) (*.f64 (neg.f64 y) (fabs.f64 y)))
(*.f64 (*.f64 y (fabs.f64 y)) (*.f64 y (fabs.f64 y)))
(*.f64 (*.f64 (fabs.f64 y) (neg.f64 y)) (*.f64 (fabs.f64 y) (neg.f64 y)))
(*.f64 (*.f64 (fabs.f64 y) y) (*.f64 (fabs.f64 y) y))
(*.f64 (*.f64 (*.f64 y y) y) y)
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 y y)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 y y)))
(*.f64 (*.f64 y y) (*.f64 y y))
(*.f64 y (*.f64 (*.f64 y y) y))
(pow.f64 (neg.f64 (*.f64 (neg.f64 y) (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 y (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 (fabs.f64 y) (neg.f64 y))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 (fabs.f64 y) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (neg.f64 y)) (fabs.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 y) (fabs.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 y) (fabs.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (fabs.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 (neg.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (neg.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 y) (neg.f64 (neg.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (neg.f64 (neg.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (neg.f64 y)) (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 (fabs.f64 y)) y) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (fabs.f64 y)) y) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (neg.f64 y)) y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 y)) #s(literal 4 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 4 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 4 binary64))
(pow.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (neg.f64 y) (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 y) (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 y) y) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64))
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 4 binary64))
(pow.f64 (neg.f64 y) #s(literal 4 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(sqrt.f64 (pow.f64 y #s(literal 8 binary64)))
(fabs.f64 (*.f64 (*.f64 (*.f64 y y) y) y))
y
#s(literal 4 binary64)
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 (*.f64 y y) #s(literal 3 binary64)))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (sqrt (pow y 4)) (*.f64 y y))
#s(approx (pow y 4) (*.f64 (*.f64 (*.f64 y y) y) y))
#s(approx y y)
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x)))

eval20.0ms (0.6%)

Memory
3.6MiB live, 59.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 193 to 637 computations (46.6% saved)

prune10.0ms (0.3%)

Memory
-15.4MiB live, 30.8MiB allocated; 4ms collecting garbage
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New1912193
Fresh000
Picked022
Done178
Total19211203
Accuracy
100.0%
Counts
203 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
99.9%
(fma.f64 y y (fma.f64 y (+.f64 y y) (*.f64 x x)))
32.5%
(fma.f64 y y #s(approx (+ (* y (+ y y)) (* x x)) #s(literal 2 binary64)))
77.0%
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64)) x) x)
61.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
60.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y #s(literal 3 binary64)) y))
60.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
53.4%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))
53.4%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))))
4.4%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
54.0%
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
Compiler

Compiled 223 to 178 computations (20.2% saved)

regimes25.0ms (0.7%)

Memory
19.4MiB live, 66.0MiB allocated; 3ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y y #s(approx (+ (* y (+ y y)) (* x x)) #s(literal 2 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y #s(literal 3 binary64)) y))
(*.f64 (*.f64 #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)) x) x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))))
(fma.f64 y y (fma.f64 y (+.f64 y y) (*.f64 x x)))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y (/.f64 y (*.f64 x x))) #s(literal 1 binary64)) x) x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y)))
Outputs
(fma.f64 y y (fma.f64 y (+.f64 y y) (*.f64 x x)))
Calls

5 calls:

7.0ms
x
5.0ms
y
4.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
4.0ms
(*.f64 y y)
4.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.9%1(*.f64 y y)
99.9%1(*.f64 x x)
99.9%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
99.9%1x
99.9%1y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes40.0ms (1.2%)

Memory
-1.2MiB live, 45.9MiB allocated; 1ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y y #s(approx (+ (* y (+ y y)) (* x x)) #s(literal 2 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y #s(literal 3 binary64)) y))
(*.f64 (*.f64 #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)) x) x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))))
Outputs
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
Calls

5 calls:

26.0ms
y
4.0ms
x
3.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
3.0ms
(*.f64 y y)
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.9%1(*.f64 y y)
99.9%1(*.f64 x x)
99.9%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
99.9%1x
99.9%1y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes113.0ms (3.3%)

Memory
-79.8MiB live, 63.1MiB allocated; 89ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y y #s(approx (+ (* y (+ y y)) (* x x)) #s(literal 2 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y #s(literal 3 binary64)) y))
(*.f64 (*.f64 #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)) x) x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
Outputs
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
Calls

5 calls:

95.0ms
y
9.0ms
(*.f64 y y)
3.0ms
x
3.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
84.3%2(*.f64 y y)
81.5%2(*.f64 x x)
63.2%2(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
81.5%2x
84.3%2y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.2%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y y #s(approx (+ (* y (+ y y)) (* x x)) #s(literal 2 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y #s(literal 3 binary64)) y))
(*.f64 (*.f64 #s(approx (+ (* 3 (* y (/ y (* x x)))) 1) #s(literal 1 binary64)) x) x)
Outputs
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y #s(literal 3 binary64)) y))
Calls

2 calls:

3.0ms
y
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
84.3%2(*.f64 y y)
84.3%2y
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes4.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y y #s(approx (+ (* y (+ y y)) (* x x)) #s(literal 2 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Outputs
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Calls

2 calls:

2.0ms
y
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
84.3%2(*.f64 y y)
84.3%2y
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes9.0ms (0.3%)

Memory
-17.7MiB live, 27.8MiB allocated; 3ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y y #s(approx (+ (* y (+ y y)) (* x x)) #s(literal 2 binary64)))
Outputs
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
(fma.f64 y y #s(approx (+ (* y (+ y y)) (* x x)) #s(literal 2 binary64)))
Calls

4 calls:

4.0ms
x
2.0ms
y
2.0ms
(*.f64 y y)
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
56.2%2(*.f64 x x)
57.3%2x
74.8%2(*.f64 y y)
74.8%2y
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes8.0ms (0.2%)

Memory
32.8MiB live, 32.8MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
(fma.f64 x x #s(literal 3 binary64))
Outputs
#s(approx (* (* (+ (* 3 (* y (/ y (* x x)))) 1) x) x) (*.f64 x x))
Calls

5 calls:

2.0ms
y
2.0ms
x
1.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
1.0ms
(*.f64 y y)
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
54.0%1(*.f64 x x)
54.0%1x
54.0%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
54.0%1(*.f64 y y)
54.0%1y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes7.0ms (0.2%)

Memory
-25.3MiB live, 20.3MiB allocated; 3ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
Calls

5 calls:

3.0ms
y
1.0ms
x
1.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
1.0ms
(*.f64 x x)
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
4.4%1(*.f64 y y)
4.4%1(*.f64 x x)
4.4%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
4.4%1x
4.4%1y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch12.0ms (0.3%)

Memory
-20.1MiB live, 34.4MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
2.838320018847104e-56
1.8578810707394434e-53
Samples
6.0ms128×0valid
Compiler

Compiled 226 to 220 computations (2.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 3.0ms (78.6% of total)
ival-add!: 1.0ms (26.2% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
2.838320018847104e-56
1.8578810707394434e-53
Compiler

Compiled 226 to 220 computations (2.7% saved)

bsearch1.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
2.838320018847104e-56
1.8578810707394434e-53
Compiler

Compiled 226 to 220 computations (2.7% saved)

bsearch10.0ms (0.3%)

Memory
29.7MiB live, 29.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
2.694319083150608e+150
6.909887334458276e+153
Samples
4.0ms128×0valid
Compiler

Compiled 194 to 204 computations (-5.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add!: 1.0ms (55.4% of total)
ival-mult!: 1.0ms (55.4% of total)
adjust: 0.0ms (0% of total)

derivations594.0ms (17.6%)

Memory
-29.4MiB live, 540.1MiB allocated; 37ms collecting garbage
Stop Event
fuel
Compiler

Compiled 58 to 46 computations (20.7% saved)

preprocess96.0ms (2.8%)

Memory
38.2MiB live, 223.3MiB allocated; 55ms collecting garbage
Remove

(abs y)

(abs x)

Compiler

Compiled 835 to 753 computations (9.8% saved)

end0.0ms (0%)

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

Profiling

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