ENA, Section 1.4, Exercise 4b, n=2

Time bar (total: 5.1s)

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
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25.7%74.3%0%0%0%0
100%25.7%0%74.3%0%0%0%1
Compiler

Compiled 25 to 18 computations (28% saved)

sample1.1s (22.5%)

Memory
8.3MiB live, 1 515.9MiB allocated; 371ms collecting garbage
Samples
413.0ms2 506×1valid
391.0ms5 136×0valid
86.0ms614×2valid
Precisions
Click to see histograms. Total time spent on operations: 518.0ms
ival-pow2: 357.0ms (68.9% of total)
adjust: 81.0ms (15.6% of total)
ival-add!: 53.0ms (10.2% of total)
ival-sub!: 27.0ms (5.2% of total)
Bogosity

preprocess118.0ms (2.3%)

Memory
-29.5MiB live, 61.1MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02258
110554
244254
3204854
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶82.2%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 16 to 14 computations (12.5% saved)

series6.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Counts
7 → 23
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* x (+ x (* 2 eps))) (pow eps 2))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ eps x))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow x 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* eps (+ eps (* 2 x))) (pow x 2))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms
eps
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms
x
@inf
((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms
x
@0
((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms
eps
@inf
((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))

rewrite214.0ms (4.2%)

Memory
-3.8MiB live, 261.6MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099398
0104370
1643358
26395358
08046343
126698343
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
30 → 144
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* x (+ x (* 2 eps))) (pow eps 2))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ eps x))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow x 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* eps (+ eps (* 2 x))) (pow x 2))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Outputs
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (+.f64 eps x) x))
(neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 x (+.f64 eps x))))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (neg.f64 x) x)))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 x x)))
(fma.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 x x)))
(fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (-.f64 (neg.f64 eps) x) (-.f64 (neg.f64 eps) x) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (neg.f64 x) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 x x)))
(fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (+.f64 eps x) (-.f64 eps x)))
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(fma.f64 eps eps (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (neg.f64 x) x)))
(fma.f64 eps eps (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 x x)))
(fma.f64 x (neg.f64 x) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) eps x) (*.f64 (+.f64 eps x) (-.f64 eps x)))
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (-.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 x) x)))
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (fma.f64 (neg.f64 eps) eps (*.f64 x x)))
(-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 (+.f64 eps x) (-.f64 eps x)))
(+.f64 (*.f64 eps eps) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (neg.f64 x) x)))
(+.f64 (*.f64 eps eps) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 x x)))
(+.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(*.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)))
(*.f64 (-.f64 (neg.f64 eps) x) (-.f64 (neg.f64 eps) x))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(pow.f64 (fabs.f64 (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (+.f64 eps x)) #s(literal 2 binary64))
(pow.f64 (-.f64 (neg.f64 eps) x) #s(literal 2 binary64))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)))
(neg.f64 (-.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x)))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(fma.f64 (+.f64 x x) eps (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) eps)))
(fma.f64 (+.f64 x x) eps (fma.f64 x x (*.f64 eps eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 eps eps))
(fma.f64 (+.f64 eps eps) x (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) eps)))
(fma.f64 (+.f64 eps eps) x (fma.f64 x x (*.f64 eps eps)))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) eps)))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (fma.f64 x x (*.f64 eps eps)))
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 eps x) x (*.f64 (+.f64 eps x) eps))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) eps)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (fma.f64 x x (*.f64 eps eps)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (*.f64 x x))
(fma.f64 eps (+.f64 x x) (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) eps)))
(fma.f64 eps (+.f64 x x) (fma.f64 x x (*.f64 eps eps)))
(fma.f64 eps (+.f64 eps x) (*.f64 x (+.f64 eps x)))
(fma.f64 eps eps (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))
(fma.f64 x (fma.f64 #s(literal 2 binary64) eps x) (*.f64 eps eps))
(fma.f64 x (+.f64 eps eps) (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) eps)))
(fma.f64 x (+.f64 eps eps) (fma.f64 x x (*.f64 eps eps)))
(fma.f64 x (+.f64 eps x) (*.f64 eps (+.f64 eps x)))
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 (neg.f64 eps) eps))
(-.f64 (*.f64 (+.f64 x x) eps) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 eps eps)))
(-.f64 (*.f64 (+.f64 x x) eps) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 eps) eps)))
(-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) eps x)) x))
(-.f64 (*.f64 eps eps) (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) eps x)))
(-.f64 (*.f64 eps eps) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) eps))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)))
(-.f64 (*.f64 x x) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)))
(fabs.f64 (-.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x)))
(fabs.f64 (neg.f64 (*.f64 (+.f64 eps x) (+.f64 eps x))))
(fabs.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) x))
(+.f64 (*.f64 eps (+.f64 eps x)) (*.f64 x (+.f64 eps x)))
(+.f64 (*.f64 x (+.f64 eps x)) (*.f64 eps (+.f64 eps x)))
(+.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps (neg.f64 x)))) (*.f64 x x))
(+.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 eps)))) (*.f64 eps eps))
(+.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (+.f64 x x) eps))
(+.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x x) eps))
(+.f64 (*.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) eps))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 eps eps))
(+.f64 (*.f64 (+.f64 x x) eps) (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) eps)))
(+.f64 (*.f64 (+.f64 x x) eps) (fma.f64 x x (*.f64 eps eps)))
(+.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))
(+.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(neg.f64 (-.f64 (neg.f64 eps) x))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps x)
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.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 x)
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.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 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (pow (+ x eps) 2) (*.f64 (+.f64 eps x) (+.f64 eps x)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (pow x 2) (*.f64 x x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x))
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 2 binary64) #s(literal 1 binary64)) x) x))
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x) #s(literal -1 binary64)) x) x))
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x))
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x) #s(literal -1 binary64)) x) x))
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (pow (+ x eps) 2) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))
#s(approx (pow (+ x eps) 2) (*.f64 (+.f64 eps x) (+.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 x (/.f64 x eps))) eps)) eps) eps))
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 x (/.f64 x eps))) eps)) eps) eps))
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))

eval13.0ms (0.2%)

Memory
-8.0MiB live, 38.2MiB allocated; 2ms collecting garbage
Compiler

Compiled 747 to 338 computations (54.8% saved)

prune5.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1275132
Fresh000
Picked101
Done000
Total1285133
Accuracy
100.0%
Counts
133 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x))
▶100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶60.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
▶99.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
▶80.1%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Compiler

Compiled 112 to 112 computations (0% saved)

series26.0ms (0.5%)

Memory
-21.1MiB live, 69.0MiB allocated; 10ms collecting garbage
Counts
22 → 28
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 x x) eps)
(+.f64 x x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x))
(*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x)
(fma.f64 eps (/.f64 eps x) (+.f64 eps eps))
(/.f64 eps x)
(+.f64 eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps)
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps)
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 x eps)
#s(literal 1 binary64)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ x x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (pow eps 2) x)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (+ (* 2 (* eps x)) (pow eps 2)) x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 1))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (+ 1 (* 2 (/ x eps)))))
#s(approx (/ x eps) #s(hole binary64 (/ x eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* 2 eps)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (+ (* 2 eps) (/ (pow eps 2) x))))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (* 2 (/ x eps))))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (* x (+ (* 2 (/ 1 eps)) (/ 1 x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* eps (+ 2 (/ eps x)))))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (/ (+ eps (* 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
eps
@inf
((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (+ x x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* eps (/ eps x)) (+ eps eps)) x) (+ (* eps (/ eps x)) (+ eps eps)) (/ eps x) (+ eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
6.0ms
x
@0
((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (+ x x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* eps (/ eps x)) (+ eps eps)) x) (+ (* eps (/ eps x)) (+ eps eps)) (/ eps x) (+ eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
4.0ms
eps
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (+ x x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* eps (/ eps x)) (+ eps eps)) x) (+ (* eps (/ eps x)) (+ eps eps)) (/ eps x) (+ eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
4.0ms
x
@inf
((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (+ x x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* eps (/ eps x)) (+ eps eps)) x) (+ (* eps (/ eps x)) (+ eps eps)) (/ eps x) (+ eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
4.0ms
x
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (+ x x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* eps (/ eps x)) (+ eps eps)) x) (+ (* eps (/ eps x)) (+ eps eps)) (/ eps x) (+ eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)

rewrite53.0ms (1%)

Memory
4.6MiB live, 57.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105553
0122507
1545116
26132116
08360116
18700116
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
50 → 55
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 x x) eps)
(+.f64 x x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x))
(*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x)
(fma.f64 eps (/.f64 eps x) (+.f64 eps eps))
(/.f64 eps x)
(+.f64 eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps)
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps)
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 x eps)
#s(literal 1 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ x x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (pow eps 2) x)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (+ (* 2 (* eps x)) (pow eps 2)) x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 1))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (+ 1 (* 2 (/ x eps)))))
#s(approx (/ x eps) #s(hole binary64 (/ x eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* 2 eps)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (+ (* 2 eps) (/ (pow eps 2) x))))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (* 2 (/ x eps))))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (* x (+ (* 2 (/ 1 eps)) (/ 1 x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* eps (+ 2 (/ eps x)))))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (/ (+ eps (* 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
Outputs
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 3 binary64)
#s(literal 2 binary64)
x
eps
#s(literal 1 binary64)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
eps
#s(literal 1 binary64)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 3 binary64)
eps
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 3 binary64)
#s(literal 3 binary64)
eps
#s(literal 1 binary64)
eps
#s(literal 1 binary64)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx x x)
#s(approx (* (+ x x) eps) #s(literal 2 binary64))
#s(approx (* (+ x x) eps) #s(literal 2 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (/ eps x) eps)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (/ eps x) eps)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 2 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 2 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))

eval2.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 91 to 61 computations (33% saved)

prune2.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New12315
Fresh000
Picked055
Done000
Total12820
Accuracy
100.0%
Counts
20 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x))
✓100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓60.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
✓99.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
✓80.1%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
▶4.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(approx (* (+ x x) eps) #s(literal 2 binary64)))
▶4.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 3 binary64))
▶6.1%
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
Compiler

Compiled 84 to 84 computations (0% saved)

series8.0ms (0.2%)

Memory
-22.4MiB live, 23.8MiB allocated; 3ms collecting garbage
Counts
7 → 14
Calls
Call 1
Inputs
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(approx (* (+ x x) eps) #s(literal 2 binary64)))
#s(approx (* (+ x x) eps) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (pow eps 2) x)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (+ (* 2 (* eps x)) (pow eps 2)) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ x x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* 2 eps)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (+ (* 2 eps) (/ (pow eps 2) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* eps (+ 2 (/ eps x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((+ (* eps (/ eps x)) (+ eps eps)) eps (- (pow (+ x eps) 2) (pow x 2)) 3 (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) 2)
1.0ms
x
@-inf
((+ (* eps (/ eps x)) (+ eps eps)) eps (- (pow (+ x eps) 2) (pow x 2)) 3 (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) 2)
1.0ms
eps
@-inf
((+ (* eps (/ eps x)) (+ eps eps)) eps (- (pow (+ x eps) 2) (pow x 2)) 3 (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) 2)
1.0ms
eps
@inf
((+ (* eps (/ eps x)) (+ eps eps)) eps (- (pow (+ x eps) 2) (pow x 2)) 3 (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) 2)
1.0ms
x
@0
((+ (* eps (/ eps x)) (+ eps eps)) eps (- (pow (+ x eps) 2) (pow x 2)) 3 (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) 2)

rewrite60.0ms (1.2%)

Memory
-17.2MiB live, 76.6MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063287
063193
1378147
2447459
0919059
1979459
Stop Event
1×saturated
1×node-limit
1×saturated
Counts
21 → 21
Calls
Call 1
Inputs
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(approx (* (+ x x) eps) #s(literal 2 binary64)))
#s(approx (* (+ x x) eps) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (pow eps 2) x)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (+ (* 2 (* eps x)) (pow eps 2)) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ x x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* 2 eps)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (+ (* 2 eps) (/ (pow eps 2) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* eps (+ 2 (/ eps x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
Outputs
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
eps
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(approx (* (+ x x) eps) #s(literal 2 binary64)))
#s(approx (* (+ x x) eps) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 1 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 1 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (* (+ x x) eps) #s(literal 2 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 2 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx eps eps)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 3 binary64))

eval1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 34 to 18 computations (47.1% saved)

prune2.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New415
Fresh000
Picked123
Done055
Total5813
Accuracy
100.0%
Counts
13 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x))
✓100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓60.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
✓99.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
✓80.1%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
✓4.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 3 binary64))
✓6.1%
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
▶4.4%
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 1 binary64))
Compiler

Compiled 80 to 80 computations (0% saved)

series2.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
2 → 6
Calls
Call 1
Inputs
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (pow eps 2) x)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (+ (* 2 (* eps x)) (pow eps 2)) x)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* 2 eps)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (+ (* 2 eps) (/ (pow eps 2) x))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* eps (+ 2 (/ eps x)))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x)))))
Calls

6 calls:

TimeVariablePointExpression
0.0ms
eps
@inf
((+ (* eps (/ eps x)) (+ eps eps)) 1)
0.0ms
eps
@-inf
((+ (* eps (/ eps x)) (+ eps eps)) 1)
0.0ms
x
@0
((+ (* eps (/ eps x)) (+ eps eps)) 1)
0.0ms
x
@-inf
((+ (* eps (/ eps x)) (+ eps eps)) 1)
0.0ms
eps
@0
((+ (* eps (/ eps x)) (+ eps eps)) 1)

rewrite68.0ms (1.3%)

Memory
21.6MiB live, 120.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030120
03098
119194
0185083
1509883
Stop Event
1×saturated
1×iter-limit
1×node-limit
1×saturated
Counts
8 → 8
Calls
Call 1
Inputs
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (pow eps 2) x)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (+ (* 2 (* eps x)) (pow eps 2)) x)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* 2 eps)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (+ (* 2 eps) (/ (pow eps 2) x))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* eps (+ 2 (/ eps x)))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x)))))
Outputs
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) (*.f64 (/.f64 eps x) eps))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 eps eps)) x))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 2 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) (fma.f64 (/.f64 eps x) eps #s(literal 2 binary64)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) (fma.f64 (/.f64 eps x) eps #s(literal 2 binary64)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) (fma.f64 (/.f64 eps x) eps #s(literal 2 binary64)))

eval1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 30 to 17 computations (43.3% saved)

prune4.0ms (0.1%)

Memory
-38.3MiB live, 9.0MiB allocated; 1ms collecting garbage
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New404
Fresh000
Picked011
Done077
Total4812
Accuracy
100.0%
Counts
12 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x))
✓100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓60.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
✓99.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
✓80.1%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
✓4.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 3 binary64))
✓6.1%
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
✓4.4%
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 1 binary64))
Compiler

Compiled 145 to 123 computations (15.2% saved)

regimes10.0ms (0.2%)

Memory
28.9MiB live, 28.8MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 1 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 3 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(approx (* (+ x x) eps) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
Calls

3 calls:

3.0ms
eps
3.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
100.0%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
100.0%1x
100.0%1eps
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.2%)

Memory
-23.0MiB live, 23.6MiB allocated; 1ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 1 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 3 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(approx (* (+ x x) eps) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Calls

3 calls:

3.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
96.9%2(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
93.3%3x
88.8%3eps
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes6.0ms (0.1%)

Memory
21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 1 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 3 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(approx (* (+ x x) eps) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Calls

3 calls:

2.0ms
eps
2.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
80.1%1eps
80.1%1x
80.1%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes6.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(literal 1 binary64))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 3 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(approx (* (+ x x) eps) #s(literal 2 binary64)))
Outputs
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) eps)
Calls

3 calls:

2.0ms
eps
2.0ms
x
1.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
6.1%1eps
6.1%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
6.1%1x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.1%)

Memory
-26.7MiB live, 24.0MiB allocated; 2ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

5.0ms
eps
1.0ms
x
1.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
4.4%1x
4.4%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
4.4%1eps
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.53e-322
Compiler

Compiled 11 to 12 computations (-9.1% saved)

derivations2.7s (52.4%)

Memory
170.0MiB live, 610.2MiB allocated; 182ms collecting garbage
Stop Event
1×done
Compiler

Compiled 43 to 30 computations (30.2% saved)

preprocess656.0ms (12.9%)

Memory
-182.4MiB live, 95.7MiB allocated; 1.1s collecting garbage
Compiler

Compiled 51 to 37 computations (27.5% saved)

end0.0ms (0%)

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

Profiling

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