Numeric.Log:$clog1p from log-domain-0.10.2.1, A

Time bar (total: 1.6s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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 13 to 10 computations (23.1% saved)

sample707.0ms (44.3%)

Memory
35.6MiB live, 1 262.9MiB allocated; 247ms collecting garbage
Samples
483.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 269.0ms
ival-mult!: 231.0ms (85.9% of total)
ival-add!: 37.0ms (13.8% of total)
adjust: 1.0ms (0.4% of total)
Bogosity

preprocess138.0ms (8.6%)

Memory
-35.7MiB live, 66.6MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02160
18758
233155
375154
4201554
5766454
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Symmetry

(abs y)

Compiler

Compiled 16 to 16 computations (0% saved)

series6.0ms (0.4%)

Memory
18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Counts
8 → 14
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 y y)
y
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (+ (* x 2) (* x x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* x 2) (* x x)) #s(hole binary64 (* x (+ 2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (* x 2) (* x x)) (* x 2) x 2 (* x x) (* y y) y)
1.0ms
x
@inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (* x 2) (* x x)) (* x 2) x 2 (* x x) (* y y) y)
1.0ms
x
@0
((+ (+ (* x 2) (* x x)) (* y y)) (+ (* x 2) (* x x)) (* x 2) x 2 (* x x) (* y y) y)
1.0ms
y
@inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (* x 2) (* x x)) (* x 2) x 2 (* x x) (* y y) y)
1.0ms
y
@-inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (* x 2) (* x x)) (* x 2) x 2 (* x x) (* y y) y)

rewrite131.0ms (8.2%)

Memory
6.0MiB live, 143.1MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060282
065246
1343239
03247225
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
22 → 238
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (+ (* x 2) (* x x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* x 2) (* x x)) #s(hole binary64 (* x (+ 2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
Outputs
(/.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (-.f64 x #s(literal -2 binary64))) x)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (-.f64 x #s(literal -2 binary64))) x (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 (neg.f64 y) y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y)) (-.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 8 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (-.f64 x #s(literal -2 binary64))) x (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))))))
(/.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y)) (-.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))) (-.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y y)))
(/.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 8 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 8 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (-.f64 x #s(literal -2 binary64))) x) (*.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 x (*.f64 y y))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (-.f64 x #s(literal -2 binary64))) x (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 y y (+.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (*.f64 #s(literal 1 binary64) y) y (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 y y (+.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (fma.f64 y y (+.f64 x x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 y y (+.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 y y (+.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (fma.f64 y y (+.f64 x x)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (fma.f64 y y (+.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (fma.f64 y y (+.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (fma.f64 y y (+.f64 x x)))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (fma.f64 y y (+.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 y y (+.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (fma.f64 y y (+.f64 x x)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 y y (+.f64 x x)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 y y (+.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 y y (+.f64 x x)))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 y y (+.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 y y (+.f64 x x)))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (fma.f64 y y (+.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 y y (+.f64 x x)))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 y (*.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 y y (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x) (fma.f64 y y (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y (*.f64 x x)))
(fma.f64 x (-.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x (-.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 y y))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (fma.f64 y y (+.f64 x x)))
(fma.f64 x (-.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x (-.f64 x #s(literal -2 binary64)) (*.f64 y y))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 x x (fma.f64 y y (+.f64 x x)))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (-.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (-.f64 x #s(literal -2 binary64))) x) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))))
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal -2 binary64) x))
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (fma.f64 y y (+.f64 x x)) (*.f64 (neg.f64 x) x))
(-.f64 (+.f64 x x) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))
(-.f64 (+.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 (-.f64 x #s(literal -2 binary64))) x))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) (-.f64 x #s(literal -2 binary64))))
(-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 (neg.f64 y) y))
(+.f64 (+.f64 (fma.f64 y y (*.f64 x x)) x) x)
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x x))))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (-.f64 x #s(literal -2 binary64))) x (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (-.f64 x #s(literal -2 binary64))) x (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))))))
(+.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 y y (+.f64 x x)))
(+.f64 (fma.f64 y y (+.f64 x x)) (*.f64 x x))
(+.f64 (+.f64 x x) (fma.f64 y y (*.f64 x x)))
(+.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(+.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))
(+.f64 x (+.f64 x (fma.f64 y y (*.f64 x x))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(*.f64 x (-.f64 #s(literal 2 binary64) (neg.f64 x)))
(*.f64 x (-.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) x #s(literal 8 binary64))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 8 binary64)) x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (+.f64 x x) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 x (-.f64 #s(literal 2 binary64) x)))) (neg.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))))
(/.f64 (*.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (+.f64 x x) x) x))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 x x))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 x x))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (+.f64 x x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 x x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 x x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (+.f64 x x))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (+.f64 x x))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (+.f64 x x))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (+.f64 x x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (+.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (+.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (+.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (+.f64 x x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (+.f64 x x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (+.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (+.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (+.f64 x x))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (+.f64 x x))
(fma.f64 x #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x x (+.f64 x x))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(-.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (+.f64 x x) (*.f64 (neg.f64 x) x))
(+.f64 (fma.f64 x x x) x)
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))))
(+.f64 (*.f64 x x) (+.f64 x x))
(+.f64 (+.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (+.f64 x x) (*.f64 x x))
(+.f64 x (+.f64 x (*.f64 x x)))
(+.f64 x (-.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 x x)
x
#s(literal 2 binary64)
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.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 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.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 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.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 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y)))
#s(approx (+ (* x 2) (* x x)) (+.f64 x x))
#s(approx (+ (* x 2) (* x x)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (*.f64 (-.f64 (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) x)) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y)))
#s(approx y y)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y y)))

eval42.0ms (2.6%)

Memory
16.1MiB live, 66.9MiB allocated; 24ms collecting garbage
Compiler

Compiled 1 557 to 607 computations (61% saved)

prune8.0ms (0.5%)

Memory
-29.7MiB live, 15.3MiB allocated; 5ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2274231
Fresh000
Picked101
Done000
Total2284232
Accuracy
100.0%
Counts
232 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (fma.f64 y y (+.f64 x x)))
64.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
59.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
48.6%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Compiler

Compiled 38 to 38 computations (0% saved)

series6.0ms (0.4%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Counts
12 → 20
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(-.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
(fma.f64 y y (+.f64 x x))
(+.f64 x x)
(fma.f64 x x (fma.f64 y y (+.f64 x x)))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (* (- x -2) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- x -2) x) #s(hole binary64 (* x (+ 2 x))))
#s(approx (- x -2) #s(hole binary64 2))
#s(approx (- x -2) #s(hole binary64 (+ 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* y y) (+ x x)) #s(hole binary64 (* x (+ 2 (/ (pow y 2) x)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (* y y) (+ x x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* y y) (+ x x)) #s(hole binary64 (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((+ (+ (* x 2) (* x x)) (* y y)) (* y y) y (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) x -2 (+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (+ x x)) (+ x x) (+ (* x x) (+ (* y y) (+ x x))))
1.0ms
x
@inf
((+ (+ (* x 2) (* x x)) (* y y)) (* y y) y (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) x -2 (+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (+ x x)) (+ x x) (+ (* x x) (+ (* y y) (+ x x))))
1.0ms
y
@inf
((+ (+ (* x 2) (* x x)) (* y y)) (* y y) y (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) x -2 (+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (+ x x)) (+ x x) (+ (* x x) (+ (* y y) (+ x x))))
1.0ms
y
@-inf
((+ (+ (* x 2) (* x x)) (* y y)) (* y y) y (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) x -2 (+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (+ x x)) (+ x x) (+ (* x x) (+ (* y y) (+ x x))))
1.0ms
x
@0
((+ (+ (* x 2) (* x x)) (* y y)) (* y y) y (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) x -2 (+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (+ x x)) (+ x x) (+ (* x x) (+ (* y y) (+ x x))))

rewrite56.0ms (3.5%)

Memory
-0.5MiB live, 91.6MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082419
091378
0459360
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
32 → 80
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(-.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
(fma.f64 y y (+.f64 x x))
(+.f64 x x)
(fma.f64 x x (fma.f64 y y (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (* (- x -2) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- x -2) x) #s(hole binary64 (* x (+ 2 x))))
#s(approx (- x -2) #s(hole binary64 2))
#s(approx (- x -2) #s(hole binary64 (+ 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* y y) (+ x x)) #s(hole binary64 (* x (+ 2 (/ (pow y 2) x)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (* y y) (+ x x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* y y) (+ x x)) #s(hole binary64 (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(*.f64 x (-.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 x x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -2 binary64)))))
(-.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 (*.f64 y y) (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (+.f64 x x) (*.f64 y y)))
(/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 (*.f64 y y) (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (+.f64 x x) (*.f64 y y)))))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (+.f64 x x))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (+.f64 x x))
(fma.f64 (neg.f64 y) (neg.f64 y) (+.f64 x x))
(fma.f64 y y (+.f64 x x))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
(+.f64 (fma.f64 y y x) x)
(+.f64 (+.f64 x x) (*.f64 y y))
(+.f64 (*.f64 y y) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x)))) (-.f64 (+.f64 x x) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 y y (+.f64 x x)) (fma.f64 y y (+.f64 x x)))) (-.f64 (*.f64 x x) (fma.f64 y y (+.f64 x x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (+.f64 #s(literal 2 binary64) x) x) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (*.f64 (+.f64 x x) (fma.f64 y y (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (fma.f64 y y (+.f64 x x)) (fma.f64 y y (+.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 y y (+.f64 x x))))))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (fma.f64 y y (+.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 y y (+.f64 x x)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 y y (+.f64 x x)))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y (*.f64 x x)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 x x (fma.f64 y y (+.f64 x x)))
(-.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (neg.f64 y) y))
(+.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 y y (+.f64 x x)))
(+.f64 (+.f64 x x) (fma.f64 y y (*.f64 x x)))
(+.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(+.f64 (fma.f64 y y (+.f64 x x)) (*.f64 x x))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)))
#s(approx (* (- x -2) x) (+.f64 x x))
#s(approx (* (- x -2) x) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (- x -2) #s(literal 2 binary64))
#s(approx (- x -2) (+.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 x x)))
#s(approx (- x -2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ (* y y) (+ x x)) (*.f64 (+.f64 (/.f64 (*.f64 y y) x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 y y) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* y y) (+ x x)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 y y) x)) #s(literal 2 binary64)) x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)))
#s(approx y y)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y y)))
#s(approx (+ (* y y) (+ x x)) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 y y)))

eval8.0ms (0.5%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 658 to 251 computations (61.9% saved)

prune12.0ms (0.8%)

Memory
-33.1MiB live, 20.7MiB allocated; 6ms collecting garbage
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New85388
Fresh000
Picked044
Done000
Total85792
Accuracy
100.0%
Counts
92 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (fma.f64 y y (+.f64 x x)))
64.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
59.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
51.5%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
48.6%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
43.1%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
19.4%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(approx (* (- x -2) x) (+.f64 x x)))
Compiler

Compiled 77 to 77 computations (0% saved)

series5.0ms (0.3%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Counts
12 → 17
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(approx (* (- x -2) x) (+.f64 x x)))
#s(approx (* (- x -2) x) (+.f64 x x))
(+.f64 x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (* (- x -2) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- x -2) x) #s(hole binary64 (* x (+ 2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (/ 2 x) 1) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 2 x) 1) #s(hole binary64 (/ (+ 2 x) x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (/ 2 x) 1) #s(hole binary64 1))
#s(approx (+ (/ 2 x) 1) #s(hole binary64 (+ 1 (* 2 (/ 1 x)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (+ x x) x (+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ (/ 2 x) 1) (* x x)) (+ (/ 2 x) 1) (/ 2 x) 2 1)
1.0ms
x
@inf
((+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (+ x x) x (+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ (/ 2 x) 1) (* x x)) (+ (/ 2 x) 1) (/ 2 x) 2 1)
1.0ms
x
@0
((+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (+ x x) x (+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ (/ 2 x) 1) (* x x)) (+ (/ 2 x) 1) (/ 2 x) 2 1)
0.0ms
y
@inf
((+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (+ x x) x (+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ (/ 2 x) 1) (* x x)) (+ (/ 2 x) 1) (/ 2 x) 2 1)
0.0ms
y
@-inf
((+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (+ x x) x (+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ (/ 2 x) 1) (* x x)) (+ (/ 2 x) 1) (/ 2 x) 2 1)

rewrite51.0ms (3.2%)

Memory
-17.4MiB live, 76.2MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073377
081341
0403325
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
29 → 56
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(approx (* (- x -2) x) (+.f64 x x)))
#s(approx (* (- x -2) x) (+.f64 x x))
(+.f64 x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (* (- x -2) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- x -2) x) #s(hole binary64 (* x (+ 2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (/ 2 x) 1) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 2 x) 1) #s(hole binary64 (/ (+ 2 x) x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (/ 2 x) 1) #s(hole binary64 1))
#s(approx (+ (/ 2 x) 1) #s(hole binary64 (+ 1 (* 2 (/ 1 x)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(approx (* (- x -2) x) (+.f64 x x)))
#s(approx (* (- x -2) x) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) x)
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -2 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)))
#s(approx (* (- x -2) x) (+.f64 x x))
#s(approx (* (- x -2) x) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (/ 2 x) 1) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (/ 2 x) 1) (/.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (/ 2 x) 1) #s(literal 1 binary64))
#s(approx (+ (/ 2 x) 1) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 y y) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y y)))

eval4.0ms (0.3%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 328 to 190 computations (42.1% saved)

prune4.0ms (0.2%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New47047
Fresh000
Picked033
Done044
Total47754
Accuracy
100.0%
Counts
54 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (fma.f64 y y (+.f64 x x)))
64.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
59.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
51.5%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
48.6%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
43.1%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
19.4%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(approx (* (- x -2) x) (+.f64 x x)))
Compiler

Compiled 138 to 111 computations (19.6% saved)

regimes53.0ms (3.3%)

Memory
-16.1MiB live, 30.9MiB allocated; 2ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(approx (* (- x -2) x) (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 x x (fma.f64 y y (+.f64 x x)))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Outputs
(fma.f64 x x (fma.f64 y y (+.f64 x x)))
Calls

5 calls:

41.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
3.0ms
y
3.0ms
x
3.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
100.0%1(*.f64 y y)
100.0%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
100.0%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
100.0%1x
100.0%1y
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes12.0ms (0.7%)

Memory
25.8MiB live, 25.8MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(approx (* (- x -2) x) (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
Calls

5 calls:

2.0ms
y
2.0ms
x
2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
2.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
88.5%2(*.f64 y y)
91.1%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
69.1%3(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
91.7%3x
88.5%2y
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes37.0ms (2.3%)

Memory
-30.2MiB live, 19.7MiB allocated; 3ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(approx (* (- x -2) x) (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Calls

4 calls:

29.0ms
y
4.0ms
(*.f64 y y)
2.0ms
x
2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Results
AccuracySegmentsBranch
88.5%2(*.f64 y y)
88.5%2y
76.3%3x
75.2%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes5.0ms (0.3%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(approx (* (- x -2) x) (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
Calls

3 calls:

2.0ms
y
2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
74.8%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
71.7%2(*.f64 y y)
74.1%3y
Compiler

Compiled 8 to 11 computations (-37.5% saved)

regimes7.0ms (0.4%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(approx (* (- x -2) x) (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(approx (* (- x -2) x) (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
Calls

5 calls:

1.0ms
y
1.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
1.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
1.0ms
x
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
59.0%2(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
43.1%1(*.f64 y y)
45.5%2y
59.0%3x
59.0%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes8.0ms (0.5%)

Memory
-27.5MiB live, 17.7MiB allocated; 4ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(approx (* (- x -2) x) (+.f64 x x)))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(approx (* (- x -2) x) (+.f64 x x)))
Calls

5 calls:

4.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
1.0ms
x
1.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
1.0ms
y
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
19.4%1(*.f64 y y)
19.4%1y
19.4%1x
19.4%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
19.4%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.094435750126421e-10
3.0963781981434517e-9
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch10.0ms (0.6%)

Memory
24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
8.18357685240892e+52
3.386309482636448e+55
Samples
5.0ms128×0valid
Compiler

Compiled 190 to 205 computations (-7.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult!: 2.0ms (91.6% of total)
ival-add!: 1.0ms (45.8% of total)
adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8447352777322928e+26
7.321331655064422e+32
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0963781981434517e-9
0.003631346592600659
Compiler

Compiled 11 to 13 computations (-18.2% saved)

derivations203.0ms (12.7%)

Memory
-33.6MiB live, 106.3MiB allocated; 165ms collecting garbage
Stop Event
done
Compiler

Compiled 61 to 41 computations (32.8% saved)

preprocess84.0ms (5.3%)

Memory
47.1MiB live, 184.0MiB allocated; 56ms collecting garbage
Remove

(abs y)

Compiler

Compiled 313 to 249 computations (20.4% saved)

end0.0ms (0%)

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

Profiling

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