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

Time bar (total: 2.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample1.1s (54.1%)

Memory
-2.5MiB live, 1 771.0MiB allocated; 371ms collecting garbage
Samples
362.0ms5 123×0valid
325.0ms2 525×1valid
135.0ms608×2valid
Precisions
Click to see histograms. Total time spent on operations: 542.0ms
ival-pow2: 335.0ms (61.8% of total)
adjust: 81.0ms (14.9% of total)
ival-add!: 69.0ms (12.7% of total)
ival-sub!: 58.0ms (10.7% of total)
Bogosity

preprocess33.0ms (1.6%)

Memory
9.6MiB live, 53.7MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02262
17454
233854
3166354
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series28.0ms (1.4%)

Memory
-23.4MiB live, 30.2MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095365
Stop Event
iter-limit
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)) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow (+ x eps) 2) (fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 eps x)))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 eps x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
#s(approx (pow (+ x eps) 2) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow (+ x eps) 2) (fma.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps)))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
eps
-inf
1.0ms
x
inf
1.0ms
x
0
1.0ms
eps
inf

rewrite138.0ms (6.7%)

Memory
1.1MiB live, 279.6MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
16923
224823
3118123
0411823
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 500
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
(*.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (fabs.f64 x))) (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (fabs.f64 x))))
(*.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (neg.f64 x))) (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (neg.f64 x))))
(*.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (fabs.f64 x)) (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (fabs.f64 x)))
(*.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 x)) (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) x) (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) x) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps)))) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) eps) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) x)))) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))) (fma.f64 (neg.f64 x) x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (fma.f64 (neg.f64 x) x (*.f64 x x)))) (fma.f64 (neg.f64 x) x (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))))) (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (*.f64 (-.f64 eps x) (+.f64 eps x)))) (*.f64 (-.f64 eps x) (+.f64 eps x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 x x)) (*.f64 (+.f64 eps x) eps))) (*.f64 (+.f64 eps x) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)) (*.f64 (+.f64 eps x) x))) (*.f64 (+.f64 eps x) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x x) (+.f64 x x)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (*.f64 x x)) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))) (*.f64 (+.f64 x x) eps))) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x x) eps (*.f64 (-.f64 eps x) (+.f64 eps x))) (*.f64 x x))) (*.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 x x)) (*.f64 x x))) (*.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 eps) eps) (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))))) (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (neg.f64 x) eps) (+.f64 eps x)) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x x) (+.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 eps x))) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 (-.f64 x eps) (+.f64 eps x))) (*.f64 x x))) (*.f64 x x))
(*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)))
(*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) (-.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)))
(*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) x) (-.f64 (fabs.f64 (+.f64 eps x)) x))
(*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) x) (+.f64 (fabs.f64 (+.f64 eps x)) x))
(*.f64 (-.f64 (-.f64 (neg.f64 x) eps) (fabs.f64 x)) (+.f64 (-.f64 (neg.f64 x) eps) (fabs.f64 x)))
(*.f64 (+.f64 (-.f64 (neg.f64 x) eps) (fabs.f64 x)) (-.f64 (-.f64 (neg.f64 x) eps) (fabs.f64 x)))
(*.f64 (+.f64 (-.f64 (neg.f64 x) eps) x) (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) (+.f64 (-.f64 (neg.f64 x) eps) x))
(*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) (-.f64 (-.f64 x eps) x))
(*.f64 (-.f64 (+.f64 eps x) (fabs.f64 x)) (+.f64 (+.f64 eps x) (fabs.f64 x)))
(*.f64 (+.f64 (+.f64 eps x) (fabs.f64 x)) (-.f64 (+.f64 eps x) (fabs.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(*.f64 (-.f64 eps (-.f64 x x)) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps (-.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps)) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps))) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) x))) (-.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps)) (*.f64 (+.f64 eps x) x)))
(/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) x)) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) x))) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps))) (-.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) x)) (*.f64 (+.f64 eps x) eps)))
(/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (fma.f64 (neg.f64 x) x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (fma.f64 (neg.f64 x) x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 x x))) (*.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (-.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))
(/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))) (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))) (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (*.f64 (-.f64 eps x) (+.f64 eps x))) (*.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))) (-.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (fma.f64 (+.f64 eps x) x (*.f64 eps x))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (*.f64 (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 x x)) (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 x x)))) (-.f64 (*.f64 (+.f64 eps x) eps) (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) x)) (*.f64 (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)))) (-.f64 (*.f64 (+.f64 eps x) x) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 (*.f64 (-.f64 x x) (+.f64 x x)) (*.f64 (-.f64 x x) (+.f64 x x)))) (*.f64 (-.f64 eps (-.f64 x x)) (fma.f64 #s(literal 2 binary64) x eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (-.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (*.f64 x x)) (-.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (*.f64 x x)))) (-.f64 (*.f64 eps eps) (-.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))) (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))))) (-.f64 (*.f64 (+.f64 x x) eps) (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (+.f64 x x) eps (*.f64 (-.f64 eps x) (+.f64 eps x))) (fma.f64 (+.f64 x x) eps (*.f64 (-.f64 eps x) (+.f64 eps x))))) (-.f64 (*.f64 x x) (fma.f64 (+.f64 x x) eps (*.f64 (-.f64 eps x) (+.f64 eps x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 x x)) (-.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 x x)))) (-.f64 (*.f64 x x) (-.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))) (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x)))) (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 eps) eps))) (+.f64 (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))) (*.f64 (neg.f64 eps) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (-.f64 (neg.f64 x) eps) (+.f64 eps x)) (*.f64 (-.f64 (neg.f64 x) eps) (+.f64 eps x)))) (+.f64 (*.f64 (neg.f64 x) x) (*.f64 (-.f64 (neg.f64 x) eps) (+.f64 eps x))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (fma.f64 (-.f64 x x) (+.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 eps x))) (fma.f64 (-.f64 x x) (+.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 eps x))))) (+.f64 (*.f64 eps eps) (fma.f64 (-.f64 x x) (+.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))))
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (fma.f64 (+.f64 eps x) x (*.f64 eps x))) (*.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (*.f64 (-.f64 x eps) (+.f64 eps x)))) (+.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (*.f64 (-.f64 x eps) (+.f64 eps x))))
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(fma.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
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(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (fma.f64 x x (*.f64 eps eps)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))) (*.f64 (+.f64 x x) eps) (*.f64 x x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))) (*.f64 eps eps) (*.f64 x x))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 (+.f64 x x) eps (fma.f64 x x (*.f64 eps eps)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 1 binary64) (fma.f64 x x (*.f64 eps eps)))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (fma.f64 x x (*.f64 eps eps)))
(fma.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 eps x)) (fma.f64 x x (*.f64 eps eps)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (fma.f64 x x (*.f64 eps eps)))
(fma.f64 (+.f64 eps x) eps (*.f64 (neg.f64 (neg.f64 x)) (+.f64 eps x)))
(fma.f64 (+.f64 eps x) eps (neg.f64 (*.f64 (neg.f64 x) (+.f64 eps x))))
(fma.f64 (+.f64 eps x) eps (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) x))))
(fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 eps x) x (neg.f64 (*.f64 (neg.f64 eps) (+.f64 eps x))))
(fma.f64 (+.f64 eps x) x (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) eps))))
(fma.f64 (+.f64 eps x) x (*.f64 (+.f64 eps x) eps))
(fma.f64 eps (+.f64 x x) (fma.f64 x x (*.f64 eps eps)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (*.f64 x x))
(fma.f64 eps (+.f64 eps x) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 eps x)))
(fma.f64 eps (+.f64 eps x) (neg.f64 (*.f64 (neg.f64 x) (+.f64 eps x))))
(fma.f64 eps (+.f64 eps x) (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) x))))
(fma.f64 eps (+.f64 eps x) (*.f64 (+.f64 eps x) x))
(fma.f64 eps eps (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (fma.f64 x x (*.f64 eps eps)))
(fma.f64 x (+.f64 eps eps) (fma.f64 x x (*.f64 eps eps)))
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 x (+.f64 eps x) (neg.f64 (*.f64 (neg.f64 eps) (+.f64 eps x))))
(fma.f64 x (+.f64 eps x) (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) eps))))
(fma.f64 x (+.f64 eps x) (*.f64 (+.f64 eps x) eps))
(fma.f64 x x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(sqrt.f64 (*.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (+.f64 eps x) (+.f64 eps x))))
(-.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) eps)) x))
(-.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
(-.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 eps x))))
(-.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (neg.f64 eps) (+.f64 x x)))
(-.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (neg.f64 x) (*.f64 eps #s(literal 2 binary64))))
(-.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (neg.f64 x) (+.f64 eps eps)))
(-.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))
(-.f64 (fma.f64 eps eps (*.f64 #s(literal -2 binary64) (*.f64 eps (neg.f64 x)))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x))))
(-.f64 (fma.f64 eps eps (*.f64 #s(literal -2 binary64) (*.f64 eps (neg.f64 x)))) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(-.f64 (fma.f64 eps eps (*.f64 #s(literal -2 binary64) (*.f64 eps (neg.f64 x)))) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) x))
(-.f64 (fma.f64 eps eps (*.f64 #s(literal -2 binary64) (*.f64 eps (neg.f64 x)))) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x (-.f64 (neg.f64 x) eps)))
(-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (-.f64 (neg.f64 x) eps) x))
(-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) (+.f64 eps x)))
(-.f64 (*.f64 (+.f64 eps x) eps) (neg.f64 (*.f64 (+.f64 eps x) x)))
(-.f64 (*.f64 (+.f64 eps x) x) (*.f64 eps (-.f64 (neg.f64 x) eps)))
(-.f64 (*.f64 (+.f64 eps x) x) (*.f64 (-.f64 (neg.f64 x) eps) eps))
(-.f64 (*.f64 (+.f64 eps x) x) (*.f64 (neg.f64 eps) (+.f64 eps x)))
(-.f64 (*.f64 (+.f64 eps x) x) (neg.f64 (*.f64 (+.f64 eps x) eps)))
(-.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x))))
(-.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(-.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) x))
(-.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 x x)))
(-.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (*.f64 (neg.f64 (fabs.f64 eps)) (fabs.f64 eps)))
(-.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (neg.f64 (neg.f64 (*.f64 (neg.f64 eps) eps))))
(-.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (*.f64 (neg.f64 eps) eps))
(-.f64 (*.f64 (+.f64 x x) eps) (neg.f64 (fma.f64 x x (*.f64 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 eps (fma.f64 #s(literal 2 binary64) x eps))))
(fabs.f64 (*.f64 (-.f64 (neg.f64 x) eps) (+.f64 eps x)))
(fabs.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(+.f64 (fma.f64 x x (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (neg.f64 eps)))) (*.f64 eps eps))
(+.f64 (fma.f64 eps eps (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 eps) (neg.f64 x)))) (*.f64 x x))
(+.f64 (fma.f64 eps eps (*.f64 #s(literal 2 binary64) (*.f64 eps (neg.f64 (neg.f64 x))))) (*.f64 x x))
(+.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) eps))) (*.f64 eps eps))
(+.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) eps)) x))
(+.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) eps))
(+.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (neg.f64 (-.f64 (neg.f64 x) x)) eps))
(+.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (neg.f64 (*.f64 (neg.f64 eps) x)) #s(literal 2 binary64)))
(+.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (-.f64 (neg.f64 x) x) (neg.f64 eps)))
(+.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (*.f64 (neg.f64 eps) x) #s(literal -2 binary64)))
(+.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 eps) x))))
(+.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 eps) x)))
(+.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (+.f64 x x) eps))
(+.f64 (fma.f64 eps eps (*.f64 #s(literal -2 binary64) (*.f64 eps (neg.f64 x)))) (*.f64 x x))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 eps x)))
(+.f64 (*.f64 (+.f64 eps x) eps) (neg.f64 (*.f64 (neg.f64 x) (+.f64 eps x))))
(+.f64 (*.f64 (+.f64 eps x) eps) (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) x))))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) x))
(+.f64 (*.f64 (+.f64 eps x) x) (neg.f64 (*.f64 (neg.f64 eps) (+.f64 eps x))))
(+.f64 (*.f64 (+.f64 eps x) x) (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) eps))))
(+.f64 (*.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) eps))
(+.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(+.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(+.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 x x))
(+.f64 (*.f64 eps eps) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(+.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (neg.f64 (*.f64 (neg.f64 eps) eps)))
(+.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (*.f64 eps eps))
(+.f64 (*.f64 (+.f64 x x) eps) (fma.f64 x x (*.f64 eps eps)))
(+.f64 (*.f64 x x) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 x)) eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x)
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps (neg.f64 (neg.f64 x))))))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 eps eps (+.f64 (*.f64 x x) (*.f64 eps (neg.f64 x)))))
(/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (*.f64 eps eps) (*.f64 (neg.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 eps x))))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.f64 eps (neg.f64 (neg.f64 (neg.f64 x))))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps (neg.f64 (neg.f64 x)))
(+.f64 eps x)
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval58.0ms (2.9%)

Memory
-0.4MiB live, 138.9MiB allocated; 22ms collecting garbage
Compiler

Compiled 11 806 to 1 555 computations (86.8% saved)

prune8.0ms (0.4%)

Memory
27.5MiB live, 27.5MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5135518
Fresh000
Picked101
Done000
Total5145519
Accuracy
100.0%
Counts
519 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.0%
(fma.f64 (-.f64 eps x) (+.f64 eps x) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
76.0%
(fma.f64 (+.f64 eps x) eps (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 x x)))
99.9%
(-.f64 (*.f64 eps eps) (fma.f64 (-.f64 x x) (+.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 eps x))))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
63.5%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
Compiler

Compiled 154 to 94 computations (39% saved)

series27.0ms (1.3%)

Memory
15.6MiB live, 61.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02201051
Stop Event
iter-limit
Counts
25 → 56
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
eps
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps x)
(fma.f64 (+.f64 eps x) eps (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 x x)))
(+.f64 eps x)
(-.f64 (*.f64 (+.f64 eps x) x) (*.f64 x x))
(*.f64 (+.f64 eps x) x)
(*.f64 x x)
(fma.f64 (-.f64 eps x) (+.f64 eps x) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(-.f64 eps x)
(fma.f64 (+.f64 eps x) x (*.f64 eps x))
(-.f64 (*.f64 eps eps) (fma.f64 (-.f64 x x) (+.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 eps x))))
(*.f64 eps eps)
(fma.f64 (-.f64 x x) (+.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))
(-.f64 x x)
(+.f64 x x)
(*.f64 #s(literal -2 binary64) (*.f64 eps x))
#s(literal -2 binary64)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ eps (* 2 x)) eps)
#s(approx (+ eps (* 2 x)) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (* 2 (* eps x)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (* (+ eps x) x) (*.f64 x (+.f64 eps x)))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (fma.f64 x (+.f64 eps (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (- eps x) (+.f64 eps (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (+ eps x) x) (* eps x)) (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps))))
#s(approx (+ (* (- x x) (+ x x)) (* -2 (* eps x))) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))
#s(approx (- x x) #s(literal 0 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ eps (* 2 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (* (+ eps x) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (*.f64 x (+.f64 eps (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 2 binary64) eps)))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (*.f64 x (+.f64 eps (fma.f64 #s(literal -1 binary64) eps (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (- eps x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- eps x) (*.f64 x (-.f64 (/.f64 eps x) #s(literal 1 binary64))))
#s(approx (+ (* (+ eps x) x) (* eps x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 eps x)))))
#s(approx (- (* eps eps) (+ (* (- x x) (+ x x)) (* -2 (* eps x)))) (*.f64 x (-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal -2 binary64) eps))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 eps (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 eps (fma.f64 #s(literal -2 binary64) eps (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))))
#s(approx (- eps x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps x))))))
#s(approx (- (* eps eps) (+ (* (- x x) (+ x x)) (* -2 (* eps x)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 2 binary64) eps)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
#s(approx (* (+ eps x) x) (fma.f64 eps x (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps (+.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps (+.f64 eps (+.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 2 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- eps x) (-.f64 eps x))
#s(approx (+ (* (+ eps x) x) (* eps x)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* eps eps) (+ (* (- x x) (+ x x)) (* -2 (* eps x)))) (*.f64 eps (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps (* 2 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* (+ eps x) x) (*.f64 eps (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 x eps))))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (+.f64 (/.f64 x eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (- eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))
#s(approx (+ (* (+ eps x) x) (* eps x)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (* (+ eps x) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) x)))) eps)))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (fma.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) eps)))) eps)))))
#s(approx (- eps x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) #s(literal 1 binary64)))))
#s(approx (+ (* (+ eps x) x) (* eps x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))))
Calls

6 calls:

TimeVariablePoint
6.0ms
x
-inf
4.0ms
x
inf
3.0ms
eps
-inf
2.0ms
x
0
2.0ms
eps
inf

rewrite183.0ms (9%)

Memory
-16.3MiB live, 220.1MiB allocated; 67ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029161
051147
1333131
21371131
04063121
Stop Event
iter-limit
node-limit
iter-limit
Counts
25 → 927
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
eps
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps x)
(fma.f64 (+.f64 eps x) eps (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 x x)))
(+.f64 eps x)
(-.f64 (*.f64 (+.f64 eps x) x) (*.f64 x x))
(*.f64 (+.f64 eps x) x)
(*.f64 x x)
(fma.f64 (-.f64 eps x) (+.f64 eps x) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(-.f64 eps x)
(fma.f64 (+.f64 eps x) x (*.f64 eps x))
(-.f64 (*.f64 eps eps) (fma.f64 (-.f64 x x) (+.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 eps x))))
(*.f64 eps eps)
(fma.f64 (-.f64 x x) (+.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))
(-.f64 x x)
(+.f64 x x)
(*.f64 #s(literal -2 binary64) (*.f64 eps 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))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))) (*.f64 (+.f64 x x) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 eps) (+.f64 x x)) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (neg.f64 eps) (+.f64 x x)) (*.f64 (neg.f64 eps) (+.f64 x x)))) (+.f64 (*.f64 eps eps) (*.f64 (neg.f64 eps) (+.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))) (fma.f64 eps eps (*.f64 #s(literal -2 binary64) (*.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (fma.f64 (*.f64 (neg.f64 eps) (+.f64 x x)) (*.f64 (neg.f64 eps) (+.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 (neg.f64 eps) (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -2 binary64) (*.f64 eps x))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps)))))
(neg.f64 (-.f64 (*.f64 (neg.f64 eps) (+.f64 x x)) (*.f64 eps eps)))
(neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (*.f64 (neg.f64 eps) (+.f64 x x))))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 (+.f64 x x) eps))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (*.f64 (neg.f64 eps) (+.f64 x x))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 eps))) (*.f64 (+.f64 x x) eps))
(fma.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x) (*.f64 eps eps))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (neg.f64 (*.f64 (neg.f64 eps) (+.f64 x x))))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (+.f64 x x) eps))
(fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)) (neg.f64 (*.f64 (neg.f64 eps) (+.f64 x x))))
(fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)) (*.f64 (+.f64 x x) eps))
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps))
(fma.f64 (*.f64 (neg.f64 eps) x) #s(literal -2 binary64) (*.f64 eps eps))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (neg.f64 (*.f64 (neg.f64 eps) (+.f64 x x))))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (neg.f64 (*.f64 (neg.f64 eps) (+.f64 x x))))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 eps) x) (*.f64 eps eps))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps eps (neg.f64 (*.f64 (neg.f64 eps) (+.f64 x x))))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(fma.f64 x (+.f64 eps eps) (*.f64 eps eps))
(-.f64 (*.f64 eps eps) (*.f64 (neg.f64 eps) (+.f64 x x)))
(-.f64 (*.f64 eps eps) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))
(-.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps (neg.f64 eps)))
(-.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps))
(-.f64 (*.f64 (+.f64 x x) eps) (neg.f64 (*.f64 eps eps)))
(+.f64 (*.f64 eps eps) (neg.f64 (*.f64 (neg.f64 eps) (+.f64 x x))))
(+.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))
(+.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))
eps
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (+.f64 eps x))) (+.f64 eps x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (+.f64 x x))) (+.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 eps) x) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x x))) (+.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)) eps)
(/.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) (-.f64 eps #s(literal 0 binary64)))
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(exp.f64 (*.f64 (log.f64 (fabs.f64 eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)))) (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps x) (-.f64 #s(literal 0 binary64) (*.f64 eps x)))) (-.f64 #s(literal 0 binary64) (*.f64 eps x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x x) eps) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps x)) (-.f64 #s(literal 0 binary64) (*.f64 eps x))) (*.f64 (*.f64 eps x) (*.f64 eps x))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps x)) (*.f64 eps x)))
(/.f64 (+.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps x)) (-.f64 #s(literal 0 binary64) (*.f64 eps x)) (fma.f64 (*.f64 eps x) (*.f64 eps x) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps x)) (*.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 #s(literal -2 binary64) (*.f64 eps x))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps))) (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x x) eps) #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (fma.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps) (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 x x) eps)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))) (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 #s(literal -2 binary64) (*.f64 eps x))) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 eps x))))))
(neg.f64 (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) eps) x #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) x) eps #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (+.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))
(fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64))
(fma.f64 (*.f64 eps x) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 eps (*.f64 #s(literal -2 binary64) x) #s(literal 0 binary64))
(fma.f64 x (*.f64 #s(literal -2 binary64) eps) #s(literal 0 binary64))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps x)) (*.f64 eps x))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x x) eps))
(-.f64 (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) #s(literal 0 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps x)) (*.f64 (neg.f64 eps) x))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))
(+.f64 (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (*.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 x)) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (+.f64 x (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x (neg.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 x #s(literal 1 binary64))))
(-.f64 (*.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 #s(literal 1 binary64) x)))
(-.f64 x (neg.f64 (neg.f64 (neg.f64 x))))
(-.f64 x (neg.f64 x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 x (neg.f64 (neg.f64 x)))
(+.f64 x x)
(*.f64 (*.f64 #s(literal -2 binary64) eps) x)
(*.f64 (*.f64 #s(literal -2 binary64) x) eps)
(*.f64 #s(literal -2 binary64) (*.f64 eps x))
(*.f64 (*.f64 eps x) #s(literal -2 binary64))
(*.f64 eps (*.f64 #s(literal -2 binary64) x))
(*.f64 x (*.f64 #s(literal -2 binary64) eps))
(neg.f64 (*.f64 (+.f64 x x) eps))
(-.f64 (*.f64 (neg.f64 eps) x) (*.f64 eps x))
#s(literal -2 binary64)

eval102.0ms (5%)

Memory
1.6MiB live, 234.4MiB allocated; 45ms collecting garbage
Compiler

Compiled 18 812 to 2 629 computations (86% saved)

prune15.0ms (0.8%)

Memory
-2.1MiB live, 43.8MiB allocated; 4ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New7785783
Fresh000
Picked505
Done000
Total7835788
Accuracy
100.0%
Counts
788 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
63.5%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
70.1%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Compiler

Compiled 170 to 110 computations (35.3% saved)

series10.0ms (0.5%)

Memory
29.0MiB live, 29.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076273
Stop Event
iter-limit
Counts
18 → 20
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
eps
(*.f64 (+.f64 x x) eps)
(+.f64 x x)
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
(*.f64 eps #s(approx (+ eps (* 2 x)) eps))
#s(approx (+ eps (* 2 x)) 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))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
(*.f64 eps (+.f64 (+.f64 eps x) x))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* (+ x x) eps) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (+ eps (* 2 x)) eps)
#s(approx (+ eps (* 2 x)) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ eps (* 2 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps (* 2 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
eps
-inf
1.0ms
eps
inf
1.0ms
x
0

rewrite131.0ms (6.4%)

Memory
-31.2MiB live, 252.0MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024145
034135
1205135
2641135
32363135
04297135
Stop Event
iter-limit
node-limit
iter-limit
Counts
18 → 434
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
eps
(*.f64 (+.f64 x x) eps)
(+.f64 x x)
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
(*.f64 eps #s(approx (+ eps (* 2 x)) eps))
#s(approx (+ eps (* 2 x)) 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))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
(*.f64 eps (+.f64 (+.f64 eps x) x))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
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) (/.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))) (*.f64 eps x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) eps) (*.f64 (+.f64 eps x) eps))) (*.f64 (+.f64 eps x) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (+.f64 eps eps) x))) (*.f64 (+.f64 eps eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps))) (*.f64 (+.f64 eps x) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x))) (*.f64 (+.f64 eps eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 eps eps))) (*.f64 eps eps))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (+.f64 x x))) (+.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x x))) (+.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x))
(/.f64 (*.f64 (-.f64 (-.f64 x eps) x) (fma.f64 #s(literal 2 binary64) x eps)) (-.f64 (-.f64 x eps) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 x) eps) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x (-.f64 (neg.f64 x) eps)))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (+.f64 eps x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (+.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (fma.f64 eps eps (*.f64 #s(literal -2 binary64) (*.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (+.f64 (+.f64 x x) (neg.f64 eps)))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (-.f64 (+.f64 x x) eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 (+.f64 eps eps) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (-.f64 (*.f64 x x) (*.f64 (+.f64 eps x) x))))
(/.f64 (*.f64 (-.f64 (+.f64 eps x) x) (fma.f64 #s(literal 2 binary64) x eps)) (-.f64 (+.f64 eps x) x))
(neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps x)
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x x)
(fma.f64 #s(literal -2 binary64) (neg.f64 x) eps)
(fma.f64 (neg.f64 x) #s(literal -2 binary64) eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x)
(fma.f64 #s(literal 1 binary64) (+.f64 x x) eps)
(fma.f64 (+.f64 x x) #s(literal 1 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (+.f64 eps x) (neg.f64 x))
(-.f64 (+.f64 x x) (neg.f64 eps))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(-.f64 x (-.f64 (neg.f64 x) eps))
(+.f64 (+.f64 eps x) x)
(+.f64 (+.f64 x x) eps)
(+.f64 eps (+.f64 x x))
(+.f64 x (+.f64 eps x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps))
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 x (neg.f64 eps)))
(/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (-.f64 eps x))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 x x (*.f64 (neg.f64 x) eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 eps eps (*.f64 (neg.f64 x) eps))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 eps x))))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps x)
(+.f64 x eps)

eval30.0ms (1.5%)

Memory
25.1MiB live, 87.2MiB allocated; 19ms collecting garbage
Compiler

Compiled 7 002 to 977 computations (86% saved)

prune16.0ms (0.8%)

Memory
-18.5MiB live, 20.8MiB allocated; 13ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2670267
Fresh000
Picked055
Done000
Total2675272
Accuracy
100.0%
Counts
272 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
63.5%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
70.1%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Compiler

Compiled 85 to 55 computations (35.3% saved)

regimes68.0ms (3.3%)

Memory
-6.7MiB live, 137.6MiB allocated; 44ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
3 → 2
4 → 1
6 → 1
11 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Call 2
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) 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(literal 2 binary64) (*.f64 eps x)))
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 #s(approx (+ eps (* 2 x)) eps)))
Call 3
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) 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(literal 2 binary64) (*.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
Call 4
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) 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(literal 2 binary64) (*.f64 eps 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) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
Call 5
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) 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(literal 2 binary64) (*.f64 eps 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) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
(fma.f64 (+.f64 eps x) eps (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 x x)))
(fma.f64 (-.f64 eps x) (+.f64 eps x) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(-.f64 (*.f64 eps eps) (fma.f64 (-.f64 x x) (+.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 eps x))))
(-.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 eps eps (*.f64 (+.f64 x x) eps)))
Calls

15 calls:

18.0ms
x
15.0ms
x
9.0ms
eps
3.0ms
eps
3.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
70.1%1eps
70.1%1x
70.1%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
97.3%2(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
92.2%3x
86.5%3eps
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
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
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 226 to 104 computations (54% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.11233e-319
Compiler

Compiled 12 to 12 computations (0% saved)

derivations48.0ms (2.4%)

Memory
31.2MiB live, 79.4MiB allocated; 5ms collecting garbage
Stop Event
done
Compiler

Compiled 116 to 32 computations (72.4% saved)

preprocess38.0ms (1.9%)

Memory
6.1MiB live, 98.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 125 to 39 computations (68.8% saved)

end0.0ms (0%)

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

Profiling

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