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

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
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)

sample2.0s (59.2%)

Memory
-10.2MiB live, 1 915.6MiB allocated; 1.3s collecting garbage
Samples
447.0ms5 110×0valid
441.0ms2 493×1valid
236.0ms653×2valid
Precisions
Click to see histograms. Total time spent on operations: 775.0ms
ival-pow2: 520.0ms (67.1% of total)
adjust: 104.0ms (13.4% of total)
ival-sub!: 97.0ms (12.5% of total)
ival-add!: 55.0ms (7.1% of total)
Bogosity

preprocess62.0ms (1.8%)

Memory
-24.8MiB live, 62.3MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02258
110554
244254
3204854
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(-.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 (0.2%)

Memory
12.9MiB live, 12.9MiB 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))

rewrite232.0ms (6.7%)

Memory
28.5MiB live, 163.4MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099398
0104370
1674358
24904358
08183343
120173343
Stop Event
iter-limit
node-limit
iter-limit
Counts
30 → 175
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))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) x)))))
(/.f64 (*.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (+.f64 eps x) x))) (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (+.f64 eps x) x))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 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))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps) (fma.f64 #s(literal 2 binary64) x eps))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) x) (fma.f64 #s(literal 2 binary64) eps x))) (-.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps) (fma.f64 #s(literal 2 binary64) x eps) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) x) (fma.f64 #s(literal 2 binary64) eps x) (fma.f64 (*.f64 (*.f64 eps eps) eps) eps (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 (neg.f64 eps) eps)))))
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x))) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 eps eps))) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (neg.f64 eps) eps)))
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 eps eps))) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 eps eps)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps) (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps) (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) x) (fma.f64 #s(literal 2 binary64) eps x) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 eps eps)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps eps) eps) eps (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) x) (fma.f64 #s(literal 2 binary64) eps x)) (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x)))))
(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 (+.f64 eps x) x) (*.f64 (+.f64 eps x) eps))
(+.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 (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))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 x x (*.f64 eps (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 eps eps (*.f64 x (neg.f64 eps)))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (+.f64 x (neg.f64 eps)))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (+.f64 eps (neg.f64 x)))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 eps x))))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(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 (*.f64 #s(literal 1 binary64) (fabs.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(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 (/.f64 (-.f64 (*.f64 x (/.f64 x eps)) (*.f64 #s(literal -2 binary64) x)) eps) #s(literal -1 binary64)) eps) eps))
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 x (/.f64 x eps)) (*.f64 #s(literal -2 binary64) x)) eps) #s(literal -1 binary64)) eps) eps))
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))

eval21.0ms (0.6%)

Memory
-22.8MiB live, 22.3MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 149 to 485 computations (57.8% saved)

prune5.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1585163
Fresh000
Picked101
Done000
Total1595164
Accuracy
100.0%
Counts
164 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
#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))
65.3%
#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))
71.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Compiler

Compiled 112 to 112 computations (0% saved)

series19.0ms (0.6%)

Memory
24.6MiB live, 24.6MiB allocated; 0ms 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
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)
3.0ms
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)
3.0ms
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)
3.0ms
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)
3.0ms
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)

rewrite289.0ms (8.4%)

Memory
7.6MiB live, 245.6MiB allocated; 122ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105553
0122501
1570489
23345489
09263488
125296488
Stop Event
iter-limit
node-limit
iter-limit
Counts
50 → 944
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 (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps))) x)
(*.f64 (neg.f64 x) (neg.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps)))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps)) #s(literal -1 binary64))
(*.f64 (neg.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps)))
(*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) (*.f64 eps x))
(*.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 x (*.f64 (neg.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps)) #s(literal -1 binary64)))
(*.f64 x (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (*.f64 x x))) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 8 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 eps eps) eps) eps (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (*.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 8 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (*.f64 x x) (fma.f64 (*.f64 (*.f64 eps eps) eps) eps (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 8 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)))
(neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps)))
(fma.f64 (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (+.f64 eps eps) x))
(fma.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (+.f64 eps eps) x))
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 eps))) (fabs.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 eps))) (fabs.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 eps))) (fabs.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (fabs.f64 (*.f64 eps x)) (fabs.f64 (/.f64 eps x)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (fabs.f64 (*.f64 eps x)) (fabs.f64 (/.f64 eps x)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (fabs.f64 (*.f64 eps x)) (fabs.f64 (/.f64 eps x)) (*.f64 (+.f64 eps eps) x))
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 eps))) (fabs.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 eps))) (fabs.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 eps))) (fabs.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (fabs.f64 (*.f64 x (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (fabs.f64 (*.f64 x (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (fabs.f64 (*.f64 x (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 eps eps) x))
(fma.f64 (sqrt.f64 (fabs.f64 eps)) (sqrt.f64 (*.f64 (fabs.f64 eps) (*.f64 eps eps))) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (sqrt.f64 (fabs.f64 eps)) (sqrt.f64 (*.f64 (fabs.f64 eps) (*.f64 eps eps))) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (sqrt.f64 (fabs.f64 eps)) (sqrt.f64 (*.f64 (fabs.f64 eps) (*.f64 eps eps))) (*.f64 (+.f64 eps eps) x))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 x (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 x (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 x (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 eps eps) x))
(fma.f64 (fabs.f64 (/.f64 eps x)) (fabs.f64 (*.f64 eps x)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (fabs.f64 (/.f64 eps x)) (fabs.f64 (*.f64 eps x)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (fabs.f64 (/.f64 eps x)) (fabs.f64 (*.f64 eps x)) (*.f64 (+.f64 eps eps) x))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (+.f64 eps eps) x))
(fma.f64 (neg.f64 (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (neg.f64 (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (neg.f64 (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (fma.f64 (/.f64 eps x) eps eps) x (*.f64 eps x))
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) eps) #s(literal -1 binary64) (*.f64 eps eps))
(fma.f64 (fabs.f64 eps) (neg.f64 (fabs.f64 eps)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (fabs.f64 eps) (neg.f64 (fabs.f64 eps)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (fabs.f64 eps) (neg.f64 (fabs.f64 eps)) (*.f64 (+.f64 eps eps) x))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (fabs.f64 eps) (neg.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (fabs.f64 eps) (neg.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (fabs.f64 eps) (neg.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (fabs.f64 eps) eps (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (fabs.f64 eps) eps (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (fabs.f64 eps) eps (*.f64 (+.f64 eps eps) x))
(fma.f64 (fabs.f64 x) (*.f64 (/.f64 eps x) eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (fabs.f64 x) (*.f64 (/.f64 eps x) eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (fabs.f64 x) (*.f64 (/.f64 eps x) eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (+.f64 eps eps) x))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (neg.f64 eps) eps (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (neg.f64 eps) eps (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 eps eps) x))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps) (*.f64 eps eps))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 eps x) eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 eps x) eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 eps x) eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x) (*.f64 eps eps))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) eps) (*.f64 eps eps))
(fma.f64 #s(literal -1 binary64) (*.f64 eps eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 #s(literal -1 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 eps eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps))
(fma.f64 (*.f64 (/.f64 eps x) eps) (fabs.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 (/.f64 eps x) eps) (fabs.f64 x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 (/.f64 eps x) eps) (fabs.f64 x) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 (/.f64 eps x) eps) (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 (/.f64 eps x) eps) (neg.f64 x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 (/.f64 eps x) eps) (neg.f64 x) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 (/.f64 eps x) eps) x (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 (/.f64 eps x) eps) x (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 (/.f64 eps x) eps) x (*.f64 (+.f64 eps eps) x))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 (+.f64 eps eps) x))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64) (*.f64 eps eps))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps eps))
(fma.f64 (*.f64 eps eps) #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 eps eps) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 eps eps) #s(literal -1 binary64) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (*.f64 (+.f64 eps eps) x))
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps (neg.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 eps (neg.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 eps (neg.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 eps eps (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
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(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 x eps) #s(literal 1 binary64)))
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(-.f64 (/.f64 (+.f64 x x) eps) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 (/.f64 (+.f64 x x) eps) (/.f64 (neg.f64 eps) eps))
(-.f64 (/.f64 (+.f64 x x) eps) #s(literal -1 binary64))
(-.f64 (/.f64 (+.f64 x x) eps) #s(literal 1 binary64))
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(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps))
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(/.f64 x eps)
(neg.f64 (/.f64 (neg.f64 x) eps))
#s(literal 1 binary64)
#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 (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx x x)
#s(approx (* (+ x x) eps) (*.f64 (+.f64 eps eps) x))
#s(approx (+ x x) (+.f64 x x))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) (*.f64 (/.f64 eps x) eps))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps))
#s(approx (/ eps x) (/.f64 eps x))
#s(approx (+ (* (/ x eps) 2) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ x eps) 2) 1) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (/ x eps) (/.f64 x eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) (+.f64 eps eps))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps))
#s(approx (+ (* (/ x eps) 2) 1) (/.f64 (+.f64 x x) eps))
#s(approx (+ (* (/ x eps) 2) 1) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps))
#s(approx (+ (* (/ x eps) 2) 1) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 (+.f64 eps eps) (/.f64 x eps) eps) eps))
#s(approx (+ (* 2 x) eps) (fma.f64 (+.f64 eps eps) (/.f64 x eps) eps))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1 binary64) x)) (*.f64 eps eps)))
#s(approx (+ (* 2 x) eps) (fma.f64 (+.f64 eps eps) (/.f64 x eps) eps))

eval80.0ms (2.3%)

Memory
-23.4MiB live, 160.6MiB allocated; 31ms collecting garbage
Compiler

Compiled 6 106 to 2 714 computations (55.6% saved)

prune23.0ms (0.7%)

Memory
-9.8MiB live, 39.9MiB allocated; 13ms collecting garbage
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New7395744
Fresh000
Picked235
Done000
Total7418749
Accuracy
100.0%
Counts
749 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
55.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) eps)))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
58.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (/.f64 eps x) (*.f64 eps x)))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
65.3%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
38.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.f64 eps) eps))
71.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Compiler

Compiled 140 to 140 computations (0% saved)

series14.0ms (0.4%)

Memory
32.6MiB live, 32.6MiB allocated; 0ms collecting garbage
Counts
22 → 27
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(+.f64 x x)
x
eps
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.f64 eps) eps))
(*.f64 (neg.f64 eps) eps)
(neg.f64 eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) eps))
(fabs.f64 eps)
(/.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
(*.f64 (+.f64 (+.f64 eps x) x) eps)
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(*.f64 (/.f64 eps x) (*.f64 eps x))
(/.f64 eps x)
(*.f64 eps x)
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 (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#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 (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #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 (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #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 (* (neg eps) eps) #s(hole binary64 (* -1 (pow eps 2))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (/ (fabs eps) (/ 1 eps)) #s(hole binary64 (* eps (fabs eps))))
#s(approx (fabs eps) #s(hole binary64 (fabs eps)))
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
eps
@0
((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (neg eps) eps) (neg eps) (- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) (/ 1 eps) 1 (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (/ eps x) (* eps x)) (/ eps x) (* eps x))
3.0ms
eps
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (neg eps) eps) (neg eps) (- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) (/ 1 eps) 1 (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (/ eps x) (* eps x)) (/ eps x) (* eps x))
2.0ms
eps
@inf
((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (neg eps) eps) (neg eps) (- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) (/ 1 eps) 1 (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (/ eps x) (* eps x)) (/ eps x) (* eps x))
2.0ms
x
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (neg eps) eps) (neg eps) (- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) (/ 1 eps) 1 (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (/ eps x) (* eps x)) (/ eps x) (* eps x))
1.0ms
x
@inf
((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (neg eps) eps) (neg eps) (- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) (/ 1 eps) 1 (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (/ eps x) (* eps x)) (/ eps x) (* eps x))

rewrite191.0ms (5.5%)

Memory
12.9MiB live, 191.5MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110477
0126413
1575407
23236399
08297367
122424367
Stop Event
iter-limit
node-limit
iter-limit
Counts
49 → 809
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(+.f64 x x)
x
eps
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.f64 eps) eps))
(*.f64 (neg.f64 eps) eps)
(neg.f64 eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) eps))
(fabs.f64 eps)
(/.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
(*.f64 (+.f64 (+.f64 eps x) x) eps)
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(*.f64 (/.f64 eps x) (*.f64 eps x))
(/.f64 eps x)
(*.f64 eps 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) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#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 (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #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 (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #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 (* (neg eps) eps) #s(hole binary64 (* -1 (pow eps 2))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (/ (fabs eps) (/ 1 eps)) #s(hole binary64 (* eps (fabs eps))))
#s(approx (fabs eps) #s(hole binary64 (fabs eps)))
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) eps (*.f64 (/.f64 eps x) eps))) x)
(*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (*.f64 (/.f64 eps x) eps)))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64)) (*.f64 eps eps))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps)) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) eps (*.f64 (/.f64 eps x) eps)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps)))
(*.f64 (fma.f64 (/.f64 eps x) eps (+.f64 eps eps)) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (neg.f64 eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (*.f64 eps eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64)))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 x (*.f64 (fma.f64 #s(literal -2 binary64) eps (*.f64 (/.f64 eps x) eps)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (/.f64 eps x) eps (+.f64 eps eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 eps eps))) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 8 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 eps eps) eps) eps (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 8 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 eps eps) (fma.f64 (*.f64 (*.f64 eps eps) eps) eps (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 8 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps)) #s(literal 1 binary64)))
(neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps)))
(neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(fma.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (+.f64 eps eps) x))
(fma.f64 (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 (/.f64 (+.f64 x x) eps) (neg.f64 eps)) (neg.f64 eps) (*.f64 eps eps))
(fma.f64 (*.f64 (*.f64 eps eps) #s(literal 2 binary64)) (/.f64 x eps) (*.f64 eps eps))
(fma.f64 (*.f64 x (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 x (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 x (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 (*.f64 eps eps) (/.f64 x eps)) #s(literal 2 binary64) (*.f64 eps eps))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps eps) x))
(fma.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 eps #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps eps) x))
(fma.f64 (/.f64 eps #s(literal -1 binary64)) (neg.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (/.f64 eps #s(literal -1 binary64)) (neg.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (/.f64 eps #s(literal -1 binary64)) (neg.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 (neg.f64 eps) #s(literal -1 binary64)) eps (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 (neg.f64 eps) #s(literal -1 binary64)) eps (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 (neg.f64 eps) #s(literal -1 binary64)) eps (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (+.f64 eps eps) x))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 (*.f64 eps eps) eps)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 (*.f64 eps eps) eps)) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 (*.f64 eps x) eps) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 (*.f64 eps x) eps) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)))
(fma.f64 (*.f64 (*.f64 eps x) eps) (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 eps eps) x))
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(neg.f64 (-.f64 (neg.f64 eps) x))
(fma.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)) x)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 eps) x) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (neg.f64 eps)) (neg.f64 eps) eps)
(fma.f64 (/.f64 (neg.f64 eps) x) (neg.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (neg.f64 eps) (/.f64 x (neg.f64 eps)) (*.f64 (neg.f64 eps) #s(literal -1 binary64)))
(fma.f64 eps #s(literal 1 binary64) x)
(-.f64 eps (*.f64 (neg.f64 eps) (/.f64 x eps)))
(-.f64 eps (*.f64 (/.f64 x (neg.f64 eps)) eps))
(-.f64 eps (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 eps x)))
(-.f64 x (*.f64 (/.f64 (neg.f64 eps) x) x))
(-.f64 x (neg.f64 eps))
(+.f64 (*.f64 (neg.f64 eps) (/.f64 x (neg.f64 eps))) (*.f64 (neg.f64 eps) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 (neg.f64 eps) x)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x (neg.f64 eps)) (neg.f64 eps)) eps)
(+.f64 (*.f64 (/.f64 (neg.f64 eps) x) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(+.f64 eps x)
(+.f64 x (*.f64 (neg.f64 eps) #s(literal -1 binary64)))
(+.f64 x eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(*.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))))
(*.f64 (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))))
(*.f64 (*.f64 x (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 eps #s(literal -1 binary64)))
(*.f64 (/.f64 eps #s(literal -1 binary64)) (neg.f64 eps))
(*.f64 (*.f64 (neg.f64 eps) #s(literal -1 binary64)) eps)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps))
(*.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 (*.f64 eps eps) eps)))
(*.f64 (*.f64 (*.f64 eps x) eps) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 x) (*.f64 (/.f64 eps x) eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps eps))
(*.f64 (*.f64 (/.f64 eps x) eps) (neg.f64 x))
(*.f64 (*.f64 (/.f64 eps x) eps) x)
(*.f64 (/.f64 eps x) (*.f64 eps x))
(*.f64 (*.f64 eps x) (/.f64 eps x))
(*.f64 (*.f64 eps eps) #s(literal -1 binary64))
(*.f64 (*.f64 eps eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 eps eps))
(*.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal -1 binary64)))
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 (neg.f64 eps) eps)
(*.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps x)))
(*.f64 eps (neg.f64 eps))
(*.f64 eps eps)
(*.f64 x (*.f64 (/.f64 eps x) eps))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))
(pow.f64 (/.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 eps x) (neg.f64 eps))) x)
(/.f64 (neg.f64 (*.f64 (neg.f64 eps) (*.f64 eps x))) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 eps x) eps))) x)
(/.f64 (neg.f64 (*.f64 x (*.f64 eps eps))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 x (*.f64 eps eps))) x)
(/.f64 (*.f64 x (*.f64 eps eps)) (neg.f64 x))
(/.f64 (*.f64 x (*.f64 eps eps)) x)
(/.f64 (*.f64 (*.f64 eps x) (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 eps) (*.f64 eps x)) (neg.f64 x))
(/.f64 (/.f64 eps (/.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))
(/.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) eps))
(/.f64 (neg.f64 (*.f64 (*.f64 eps x) eps)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 eps x) eps)) x)
(/.f64 (*.f64 (*.f64 eps x) eps) (neg.f64 x))
(/.f64 (*.f64 (*.f64 eps x) eps) x)
(/.f64 (*.f64 eps eps) #s(literal -1 binary64))
(/.f64 (*.f64 eps eps) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 eps x) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) eps) (neg.f64 eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) eps))
(/.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) eps))
(/.f64 eps (/.f64 #s(literal 1 binary64) eps))
(neg.f64 (/.f64 eps (/.f64 #s(literal -1 binary64) eps)))
(neg.f64 (*.f64 eps eps))
(sqrt.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps))
(fabs.f64 (*.f64 eps eps))
(*.f64 (/.f64 #s(literal 1 binary64) x) eps)
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 eps) x))
(*.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) x))
(*.f64 eps (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 x eps) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
(/.f64 (/.f64 eps #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x eps))
(/.f64 (neg.f64 eps) (neg.f64 x))
(/.f64 eps x)
(neg.f64 (/.f64 (neg.f64 eps) x))
(*.f64 eps x)
(*.f64 x eps)
#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 (+ x x) (+.f64 x x))
#s(approx x x)
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (/ eps x) (/.f64 eps x))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (neg eps) eps) (*.f64 eps eps))
#s(approx (neg eps) (neg.f64 eps))
#s(approx (* (neg eps) eps) (*.f64 eps eps))
#s(approx (fabs eps) eps)
#s(approx (/ 1 eps) (/.f64 #s(literal 1 binary64) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ eps x) (+.f64 eps x))

eval43.0ms (1.2%)

Memory
1.1MiB live, 90.2MiB allocated; 12ms collecting garbage
Compiler

Compiled 2 645 to 1 335 computations (49.5% saved)

prune12.0ms (0.3%)

Memory
-21.3MiB live, 24.1MiB allocated; 4ms collecting garbage
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New4131414
Fresh000
Picked145
Done033
Total4148422
Accuracy
100.0%
Counts
422 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
71.3%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps)))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
58.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (/.f64 eps x) (*.f64 eps x)))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
65.3%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
38.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.f64 eps) eps))
71.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Compiler

Compiled 86 to 86 computations (0% saved)

series3.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Counts
6 → 11
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps))
#s(approx (fabs eps) eps)
eps
(/.f64 #s(literal 1 binary64) 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 (- (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) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (/ (fabs eps) (/ 1 eps)) #s(hole binary64 (* eps (fabs eps))))
#s(approx (fabs eps) #s(hole binary64 (fabs eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) eps (/ 1 eps) 1)
1.0ms
eps
@0
((- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) eps (/ 1 eps) 1)
1.0ms
eps
@inf
((- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) eps (/ 1 eps) 1)
0.0ms
x
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) eps (/ 1 eps) 1)
0.0ms
x
@inf
((- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) eps (/ 1 eps) 1)

rewrite183.0ms (5.3%)

Memory
37.1MiB live, 174.5MiB allocated; 74ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049192
052186
1296172
21897172
Stop Event
iter-limit
unsound
node-limit
iter-limit
Counts
17 → 8
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps))
#s(approx (fabs eps) eps)
eps
(/.f64 #s(literal 1 binary64) 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 (- (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) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (/ (fabs eps) (/ 1 eps)) #s(hole binary64 (* eps (fabs eps))))
#s(approx (fabs eps) #s(hole binary64 (fabs eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps))
#s(approx (fabs eps) eps)
eps
(/.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
#s(approx eps eps)
#s(approx (/ 1 eps) (/.f64 #s(literal 1 binary64) eps))

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 22 to 21 computations (4.5% saved)

prune5.0ms (0.1%)

Memory
-38.3MiB live, 8.0MiB allocated; 2ms collecting garbage
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New202
Fresh000
Picked011
Done077
Total2810
Accuracy
100.0%
Counts
10 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
71.3%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps)))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
58.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (/.f64 eps x) (*.f64 eps x)))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
65.3%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
38.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.f64 eps) eps))
71.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Compiler

Compiled 157 to 137 computations (12.7% saved)

regimes11.0ms (0.3%)

Memory
24.4MiB live, 24.4MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.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 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) 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 (+.f64 (+.f64 eps x) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (/.f64 eps x) (*.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 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)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
Calls

3 calls:

4.0ms
eps
3.0ms
x
3.0ms
(-.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)

regimes31.0ms (0.9%)

Memory
4.8MiB live, 56.8MiB allocated; 7ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.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 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) 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 (+.f64 (+.f64 eps x) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (/.f64 eps x) (*.f64 eps x)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
Calls

3 calls:

25.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
3.0ms
eps
3.0ms
x
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)

regimes7.0ms (0.2%)

Memory
-29.7MiB live, 16.7MiB allocated; 2ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.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 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) 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
x
2.0ms
eps
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
96.7%2(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
93.3%3x
88.0%3eps
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Accuracy

Total -21.3b remaining (-116.3%)

Threshold costs -21.3b (-116.3%)

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

3 calls:

1.0ms
x
1.0ms
eps
1.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
71.4%1eps
71.4%1x
71.4%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)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.7853564445200377e-305
Compiler

Compiled 11 to 12 computations (-9.1% saved)

derivations142.0ms (4.1%)

Memory
-13.0MiB live, 173.7MiB allocated; 14ms collecting garbage
Stop Event
done
Compiler

Compiled 36 to 25 computations (30.6% saved)

preprocess25.0ms (0.7%)

Memory
18.4MiB live, 64.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 44 to 32 computations (27.3% saved)

end0.0ms (0%)

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

Profiling

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